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Finding the Fourth Proportional to 9,218.52, 12,715.10 and 5,683.68

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Solution

The fourth proportional to 9,218.52, 12,715.10 and 5,683.68 is: 7,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.52 : 12,715.10 = 5,683.68 : x
  2. Step 2: Convert to fraction form
    9,218.52/12,715.10 = 5,683.68/x
  3. Step 3: Cross multiply
    9,218.52x = 12,715.10 × 5,683.68
  4. Step 4: Simplify right side
    9,218.52x = 72,268,559.57
  5. Step 5: Solve for x
    x = 72,268,559.57/9,218.52
  6. Step 6: Final answer
    x = 7,839.50

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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.