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Finding the Fourth Proportional to 9,545.10, 14,321.92 and 3,702.18

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Solution

The fourth proportional to 9,545.10, 14,321.92 and 3,702.18 is: 5,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.10 : 14,321.92 = 3,702.18 : x
  2. Step 2: Convert to fraction form
    9,545.10/14,321.92 = 3,702.18/x
  3. Step 3: Cross multiply
    9,545.10x = 14,321.92 × 3,702.18
  4. Step 4: Simplify right side
    9,545.10x = 53,022,325.79
  5. Step 5: Solve for x
    x = 53,022,325.79/9,545.10
  6. Step 6: Final answer
    x = 5,554.93

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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.