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Finding the Fourth Proportional to 9,248.64, 13,872.96 and 3,092.64

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Solution

The fourth proportional to 9,248.64, 13,872.96 and 3,092.64 is: 4,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.64 : 13,872.96 = 3,092.64 : x
  2. Step 2: Convert to fraction form
    9,248.64/13,872.96 = 3,092.64/x
  3. Step 3: Cross multiply
    9,248.64x = 13,872.96 × 3,092.64
  4. Step 4: Simplify right side
    9,248.64x = 42,904,071.01
  5. Step 5: Solve for x
    x = 42,904,071.01/9,248.64
  6. Step 6: Final answer
    x = 4,638.96

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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.