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Finding the Fourth Proportional to 9,398.01, 13,989.62 and 9,257.86

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Solution

The fourth proportional to 9,398.01, 13,989.62 and 9,257.86 is: 13,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.01 : 13,989.62 = 9,257.86 : x
  2. Step 2: Convert to fraction form
    9,398.01/13,989.62 = 9,257.86/x
  3. Step 3: Cross multiply
    9,398.01x = 13,989.62 × 9,257.86
  4. Step 4: Simplify right side
    9,398.01x = 129,513,897.12
  5. Step 5: Solve for x
    x = 129,513,897.12/9,398.01
  6. Step 6: Final answer
    x = 13,780.99

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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.