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Finding the Fourth Proportional to 9,354.20, 14,031.14 and 5,411.39

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Solution

The fourth proportional to 9,354.20, 14,031.14 and 5,411.39 is: 8,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.20 : 14,031.14 = 5,411.39 : x
  2. Step 2: Convert to fraction form
    9,354.20/14,031.14 = 5,411.39/x
  3. Step 3: Cross multiply
    9,354.20x = 14,031.14 × 5,411.39
  4. Step 4: Simplify right side
    9,354.20x = 75,927,873.47
  5. Step 5: Solve for x
    x = 75,927,873.47/9,354.20
  6. Step 6: Final answer
    x = 8,116.99

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