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Finding the Fourth Proportional to 9,847,807.81, 13,592,242.28 and 5,774,739.01

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Solution

The fourth proportional to 9,847,807.81, 13,592,242.28 and 5,774,739.01 is: 7,970,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847,807.81 : 13,592,242.28 = 5,774,739.01 : x
  2. Step 2: Convert to fraction form
    9,847,807.81/13,592,242.28 = 5,774,739.01/x
  3. Step 3: Cross multiply
    9,847,807.81x = 13,592,242.28 × 5,774,739.01
  4. Step 4: Simplify right side
    9,847,807.81x = 78,491,651,630,852.44
  5. Step 5: Solve for x
    x = 78,491,651,630,852.44/9,847,807.81
  6. Step 6: Final answer
    x = 7,970,469.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.