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Finding the Fourth Proportional to 9,582.17, 14,375.07 and 4,654.13

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Solution

The fourth proportional to 9,582.17, 14,375.07 and 4,654.13 is: 6,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.17 : 14,375.07 = 4,654.13 : x
  2. Step 2: Convert to fraction form
    9,582.17/14,375.07 = 4,654.13/x
  3. Step 3: Cross multiply
    9,582.17x = 14,375.07 × 4,654.13
  4. Step 4: Simplify right side
    9,582.17x = 66,903,372.66
  5. Step 5: Solve for x
    x = 66,903,372.66/9,582.17
  6. Step 6: Final answer
    x = 6,982.07

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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.