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Finding the Fourth Proportional to 9,132.30, 12,602.04 and 5,153.78

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Solution

The fourth proportional to 9,132.30, 12,602.04 and 5,153.78 is: 7,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.30 : 12,602.04 = 5,153.78 : x
  2. Step 2: Convert to fraction form
    9,132.30/12,602.04 = 5,153.78/x
  3. Step 3: Cross multiply
    9,132.30x = 12,602.04 × 5,153.78
  4. Step 4: Simplify right side
    9,132.30x = 64,948,141.71
  5. Step 5: Solve for x
    x = 64,948,141.71/9,132.30
  6. Step 6: Final answer
    x = 7,111.92

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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.