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Finding the Fourth Proportional to 9,225.72, 12,732 and 5,034

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Solution

The fourth proportional to 9,225.72, 12,732 and 5,034 is: 6,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.72 : 12,732 = 5,034 : x
  2. Step 2: Convert to fraction form
    9,225.72/12,732 = 5,034/x
  3. Step 3: Cross multiply
    9,225.72x = 12,732 × 5,034
  4. Step 4: Simplify right side
    9,225.72x = 64,092,888
  5. Step 5: Solve for x
    x = 64,092,888/9,225.72
  6. Step 6: Final answer
    x = 6,947.20

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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.