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Finding the Fourth Proportional to 9,225.84, 12,732.40 and 5,248.16

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Solution

The fourth proportional to 9,225.84, 12,732.40 and 5,248.16 is: 7,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.84 : 12,732.40 = 5,248.16 : x
  2. Step 2: Convert to fraction form
    9,225.84/12,732.40 = 5,248.16/x
  3. Step 3: Cross multiply
    9,225.84x = 12,732.40 × 5,248.16
  4. Step 4: Simplify right side
    9,225.84x = 66,821,672.38
  5. Step 5: Solve for x
    x = 66,821,672.38/9,225.84
  6. Step 6: Final answer
    x = 7,242.88

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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.