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Finding the Fourth Proportional to 9,472.44, 13,066.53 and 5,929.50

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Solution

The fourth proportional to 9,472.44, 13,066.53 and 5,929.50 is: 8,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.44 : 13,066.53 = 5,929.50 : x
  2. Step 2: Convert to fraction form
    9,472.44/13,066.53 = 5,929.50/x
  3. Step 3: Cross multiply
    9,472.44x = 13,066.53 × 5,929.50
  4. Step 4: Simplify right side
    9,472.44x = 77,477,989.64
  5. Step 5: Solve for x
    x = 77,477,989.64/9,472.44
  6. Step 6: Final answer
    x = 8,179.31

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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.