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Finding the Fourth Proportional to 9,517.32, 14,250.06 and 7,401.60

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Solution

The fourth proportional to 9,517.32, 14,250.06 and 7,401.60 is: 11,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.32 : 14,250.06 = 7,401.60 : x
  2. Step 2: Convert to fraction form
    9,517.32/14,250.06 = 7,401.60/x
  3. Step 3: Cross multiply
    9,517.32x = 14,250.06 × 7,401.60
  4. Step 4: Simplify right side
    9,517.32x = 105,473,244.10
  5. Step 5: Solve for x
    x = 105,473,244.10/9,517.32
  6. Step 6: Final answer
    x = 11,082.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.