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Finding the Fourth Proportional to 9,637.38, 14,397.21 and 6,278.31

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Solution

The fourth proportional to 9,637.38, 14,397.21 and 6,278.31 is: 9,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.38 : 14,397.21 = 6,278.31 : x
  2. Step 2: Convert to fraction form
    9,637.38/14,397.21 = 6,278.31/x
  3. Step 3: Cross multiply
    9,637.38x = 14,397.21 × 6,278.31
  4. Step 4: Simplify right side
    9,637.38x = 90,390,147.52
  5. Step 5: Solve for x
    x = 90,390,147.52/9,637.38
  6. Step 6: Final answer
    x = 9,379.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.