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Finding the Fourth Proportional to 9,193.76, 12,687.40 and 5,002

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Solution

The fourth proportional to 9,193.76, 12,687.40 and 5,002 is: 6,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.76 : 12,687.40 = 5,002 : x
  2. Step 2: Convert to fraction form
    9,193.76/12,687.40 = 5,002/x
  3. Step 3: Cross multiply
    9,193.76x = 12,687.40 × 5,002
  4. Step 4: Simplify right side
    9,193.76x = 63,462,374.80
  5. Step 5: Solve for x
    x = 63,462,374.80/9,193.76
  6. Step 6: Final answer
    x = 6,902.77

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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.