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Finding the Fourth Proportional to 9,248.16, 13,874.16 and 3,092

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Solution

The fourth proportional to 9,248.16, 13,874.16 and 3,092 is: 4,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.16 : 13,874.16 = 3,092 : x
  2. Step 2: Convert to fraction form
    9,248.16/13,874.16 = 3,092/x
  3. Step 3: Cross multiply
    9,248.16x = 13,874.16 × 3,092
  4. Step 4: Simplify right side
    9,248.16x = 42,898,902.72
  5. Step 5: Solve for x
    x = 42,898,902.72/9,248.16
  6. Step 6: Final answer
    x = 4,638.64

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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.