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Finding the Fourth Proportional to 9,898.62, 14,847.96 and 2,402.17

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Solution

The fourth proportional to 9,898.62, 14,847.96 and 2,402.17 is: 3,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.62 : 14,847.96 = 2,402.17 : x
  2. Step 2: Convert to fraction form
    9,898.62/14,847.96 = 2,402.17/x
  3. Step 3: Cross multiply
    9,898.62x = 14,847.96 × 2,402.17
  4. Step 4: Simplify right side
    9,898.62x = 35,667,324.07
  5. Step 5: Solve for x
    x = 35,667,324.07/9,898.62
  6. Step 6: Final answer
    x = 3,603.26

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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.