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Finding the Fourth Proportional to 9,098.38, 13,654.93 and 4,717.09

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Solution

The fourth proportional to 9,098.38, 13,654.93 and 4,717.09 is: 7,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.38 : 13,654.93 = 4,717.09 : x
  2. Step 2: Convert to fraction form
    9,098.38/13,654.93 = 4,717.09/x
  3. Step 3: Cross multiply
    9,098.38x = 13,654.93 × 4,717.09
  4. Step 4: Simplify right side
    9,098.38x = 64,411,510.17
  5. Step 5: Solve for x
    x = 64,411,510.17/9,098.38
  6. Step 6: Final answer
    x = 7,079.45

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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.