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Finding the Fourth Proportional to 9,592.20, 14,398.08 and 9,218.64

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Solution

The fourth proportional to 9,592.20, 14,398.08 and 9,218.64 is: 13,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.20 : 14,398.08 = 9,218.64 : x
  2. Step 2: Convert to fraction form
    9,592.20/14,398.08 = 9,218.64/x
  3. Step 3: Cross multiply
    9,592.20x = 14,398.08 × 9,218.64
  4. Step 4: Simplify right side
    9,592.20x = 132,730,716.21
  5. Step 5: Solve for x
    x = 132,730,716.21/9,592.20
  6. Step 6: Final answer
    x = 13,837.36

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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.