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Finding the Fourth Proportional to 9,193.95, 12,687.29 and 5,002.20

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Solution

The fourth proportional to 9,193.95, 12,687.29 and 5,002.20 is: 6,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.95 : 12,687.29 = 5,002.20 : x
  2. Step 2: Convert to fraction form
    9,193.95/12,687.29 = 5,002.20/x
  3. Step 3: Cross multiply
    9,193.95x = 12,687.29 × 5,002.20
  4. Step 4: Simplify right side
    9,193.95x = 63,464,337.03
  5. Step 5: Solve for x
    x = 63,464,337.03/9,193.95
  6. Step 6: Final answer
    x = 6,902.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.