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Finding the Fourth Proportional to 9,913.80, 14,854.62 and 5,233.56

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Solution

The fourth proportional to 9,913.80, 14,854.62 and 5,233.56 is: 7,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.80 : 14,854.62 = 5,233.56 : x
  2. Step 2: Convert to fraction form
    9,913.80/14,854.62 = 5,233.56/x
  3. Step 3: Cross multiply
    9,913.80x = 14,854.62 × 5,233.56
  4. Step 4: Simplify right side
    9,913.80x = 77,742,545.05
  5. Step 5: Solve for x
    x = 77,742,545.05/9,913.80
  6. Step 6: Final answer
    x = 7,841.85

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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.