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Finding the Fourth Proportional to 9,141.50, 12,615.82 and 5,162.52

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Solution

The fourth proportional to 9,141.50, 12,615.82 and 5,162.52 is: 7,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.50 : 12,615.82 = 5,162.52 : x
  2. Step 2: Convert to fraction form
    9,141.50/12,615.82 = 5,162.52/x
  3. Step 3: Cross multiply
    9,141.50x = 12,615.82 × 5,162.52
  4. Step 4: Simplify right side
    9,141.50x = 65,129,423.07
  5. Step 5: Solve for x
    x = 65,129,423.07/9,141.50
  6. Step 6: Final answer
    x = 7,124.59

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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.