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Finding the Fourth Proportional to 7,131.80, 9,838.61 and 4,614.73

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Solution

The fourth proportional to 7,131.80, 9,838.61 and 4,614.73 is: 6,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.80 : 9,838.61 = 4,614.73 : x
  2. Step 2: Convert to fraction form
    7,131.80/9,838.61 = 4,614.73/x
  3. Step 3: Cross multiply
    7,131.80x = 9,838.61 × 4,614.73
  4. Step 4: Simplify right side
    7,131.80x = 45,402,528.73
  5. Step 5: Solve for x
    x = 45,402,528.73/7,131.80
  6. Step 6: Final answer
    x = 6,366.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.