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Finding the Fourth Proportional to 9,729.68, 14,594.56 and 5,344.74

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Solution

The fourth proportional to 9,729.68, 14,594.56 and 5,344.74 is: 8,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.68 : 14,594.56 = 5,344.74 : x
  2. Step 2: Convert to fraction form
    9,729.68/14,594.56 = 5,344.74/x
  3. Step 3: Cross multiply
    9,729.68x = 14,594.56 × 5,344.74
  4. Step 4: Simplify right side
    9,729.68x = 78,004,128.61
  5. Step 5: Solve for x
    x = 78,004,128.61/9,729.68
  6. Step 6: Final answer
    x = 8,017.13

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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.