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Finding the Fourth Proportional to 9,132.76, 13,699.02 and 5,234.38

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Solution

The fourth proportional to 9,132.76, 13,699.02 and 5,234.38 is: 7,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.76 : 13,699.02 = 5,234.38 : x
  2. Step 2: Convert to fraction form
    9,132.76/13,699.02 = 5,234.38/x
  3. Step 3: Cross multiply
    9,132.76x = 13,699.02 × 5,234.38
  4. Step 4: Simplify right side
    9,132.76x = 71,705,876.31
  5. Step 5: Solve for x
    x = 71,705,876.31/9,132.76
  6. Step 6: Final answer
    x = 7,851.50

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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.