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Finding the Fourth Proportional to 9,690.34, 14,534.76 and 5,517.24

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Solution

The fourth proportional to 9,690.34, 14,534.76 and 5,517.24 is: 8,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.34 : 14,534.76 = 5,517.24 : x
  2. Step 2: Convert to fraction form
    9,690.34/14,534.76 = 5,517.24/x
  3. Step 3: Cross multiply
    9,690.34x = 14,534.76 × 5,517.24
  4. Step 4: Simplify right side
    9,690.34x = 80,191,759.26
  5. Step 5: Solve for x
    x = 80,191,759.26/9,690.34
  6. Step 6: Final answer
    x = 8,275.43

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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.