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Finding the Fourth Proportional to 9,587.14, 14,400.39 and 6,304.90

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Solution

The fourth proportional to 9,587.14, 14,400.39 and 6,304.90 is: 9,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.14 : 14,400.39 = 6,304.90 : x
  2. Step 2: Convert to fraction form
    9,587.14/14,400.39 = 6,304.90/x
  3. Step 3: Cross multiply
    9,587.14x = 14,400.39 × 6,304.90
  4. Step 4: Simplify right side
    9,587.14x = 90,793,018.91
  5. Step 5: Solve for x
    x = 90,793,018.91/9,587.14
  6. Step 6: Final answer
    x = 9,470.29

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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.