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Finding the Fourth Proportional to 9,373.64, 12,938.19 and 5,834.75

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Solution

The fourth proportional to 9,373.64, 12,938.19 and 5,834.75 is: 8,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.64 : 12,938.19 = 5,834.75 : x
  2. Step 2: Convert to fraction form
    9,373.64/12,938.19 = 5,834.75/x
  3. Step 3: Cross multiply
    9,373.64x = 12,938.19 × 5,834.75
  4. Step 4: Simplify right side
    9,373.64x = 75,491,104.10
  5. Step 5: Solve for x
    x = 75,491,104.10/9,373.64
  6. Step 6: Final answer
    x = 8,053.55

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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.