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Finding the Fourth Proportional to 9,140.88, 12,614.76 and 5,162.43

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Solution

The fourth proportional to 9,140.88, 12,614.76 and 5,162.43 is: 7,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.88 : 12,614.76 = 5,162.43 : x
  2. Step 2: Convert to fraction form
    9,140.88/12,614.76 = 5,162.43/x
  3. Step 3: Cross multiply
    9,140.88x = 12,614.76 × 5,162.43
  4. Step 4: Simplify right side
    9,140.88x = 65,122,815.47
  5. Step 5: Solve for x
    x = 65,122,815.47/9,140.88
  6. Step 6: Final answer
    x = 7,124.35

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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.