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Finding the Fourth Proportional to 9,118.50, 13,677.86 and 2,545.20

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Solution

The fourth proportional to 9,118.50, 13,677.86 and 2,545.20 is: 3,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.50 : 13,677.86 = 2,545.20 : x
  2. Step 2: Convert to fraction form
    9,118.50/13,677.86 = 2,545.20/x
  3. Step 3: Cross multiply
    9,118.50x = 13,677.86 × 2,545.20
  4. Step 4: Simplify right side
    9,118.50x = 34,812,857.17
  5. Step 5: Solve for x
    x = 34,812,857.17/9,118.50
  6. Step 6: Final answer
    x = 3,817.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.