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Finding the Fourth Proportional to 9,517.32, 13,138.02 and 7,160.04

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Solution

The fourth proportional to 9,517.32, 13,138.02 and 7,160.04 is: 9,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.32 : 13,138.02 = 7,160.04 : x
  2. Step 2: Convert to fraction form
    9,517.32/13,138.02 = 7,160.04/x
  3. Step 3: Cross multiply
    9,517.32x = 13,138.02 × 7,160.04
  4. Step 4: Simplify right side
    9,517.32x = 94,068,748.72
  5. Step 5: Solve for x
    x = 94,068,748.72/9,517.32
  6. Step 6: Final answer
    x = 9,883.95

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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.