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Finding the Fourth Proportional to 9,148.68, 13,713.60 and 3,599.78

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Solution

The fourth proportional to 9,148.68, 13,713.60 and 3,599.78 is: 5,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.68 : 13,713.60 = 3,599.78 : x
  2. Step 2: Convert to fraction form
    9,148.68/13,713.60 = 3,599.78/x
  3. Step 3: Cross multiply
    9,148.68x = 13,713.60 × 3,599.78
  4. Step 4: Simplify right side
    9,148.68x = 49,365,887.94
  5. Step 5: Solve for x
    x = 49,365,887.94/9,148.68
  6. Step 6: Final answer
    x = 5,395.96

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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.