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Finding the Fourth Proportional to 9,377.43, 12,929.09 and 6,014.31

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Solution

The fourth proportional to 9,377.43, 12,929.09 and 6,014.31 is: 8,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.43 : 12,929.09 = 6,014.31 : x
  2. Step 2: Convert to fraction form
    9,377.43/12,929.09 = 6,014.31/x
  3. Step 3: Cross multiply
    9,377.43x = 12,929.09 × 6,014.31
  4. Step 4: Simplify right side
    9,377.43x = 77,759,507.92
  5. Step 5: Solve for x
    x = 77,759,507.92/9,377.43
  6. Step 6: Final answer
    x = 8,292.20

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