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Finding the Fourth Proportional to 9,129.78, 12,598.52 and 5,151.24

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Solution

The fourth proportional to 9,129.78, 12,598.52 and 5,151.24 is: 7,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.78 : 12,598.52 = 5,151.24 : x
  2. Step 2: Convert to fraction form
    9,129.78/12,598.52 = 5,151.24/x
  3. Step 3: Cross multiply
    9,129.78x = 12,598.52 × 5,151.24
  4. Step 4: Simplify right side
    9,129.78x = 64,897,974.41
  5. Step 5: Solve for x
    x = 64,897,974.41/9,129.78
  6. Step 6: Final answer
    x = 7,108.38

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Why These Related Problems?

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