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Finding the Fourth Proportional to 9,670,489.47, 14,500,742.34 and 2,846,178.30

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Solution

The fourth proportional to 9,670,489.47, 14,500,742.34 and 2,846,178.30 is: 4,267,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670,489.47 : 14,500,742.34 = 2,846,178.30 : x
  2. Step 2: Convert to fraction form
    9,670,489.47/14,500,742.34 = 2,846,178.30/x
  3. Step 3: Cross multiply
    9,670,489.47x = 14,500,742.34 × 2,846,178.30
  4. Step 4: Simplify right side
    9,670,489.47x = 41,271,698,181,999.22
  5. Step 5: Solve for x
    x = 41,271,698,181,999.22/9,670,489.47
  6. Step 6: Final answer
    x = 4,267,798.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.