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Finding the Fourth Proportional to 9,129.64, 13,691.76 and 2,554.24

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Solution

The fourth proportional to 9,129.64, 13,691.76 and 2,554.24 is: 3,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.64 : 13,691.76 = 2,554.24 : x
  2. Step 2: Convert to fraction form
    9,129.64/13,691.76 = 2,554.24/x
  3. Step 3: Cross multiply
    9,129.64x = 13,691.76 × 2,554.24
  4. Step 4: Simplify right side
    9,129.64x = 34,972,041.06
  5. Step 5: Solve for x
    x = 34,972,041.06/9,129.64
  6. Step 6: Final answer
    x = 3,830.60

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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.