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Finding the Fourth Proportional to 9,137.96, 12,604.14 and 5,785.04

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Solution

The fourth proportional to 9,137.96, 12,604.14 and 5,785.04 is: 7,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.96 : 12,604.14 = 5,785.04 : x
  2. Step 2: Convert to fraction form
    9,137.96/12,604.14 = 5,785.04/x
  3. Step 3: Cross multiply
    9,137.96x = 12,604.14 × 5,785.04
  4. Step 4: Simplify right side
    9,137.96x = 72,915,454.07
  5. Step 5: Solve for x
    x = 72,915,454.07/9,137.96
  6. Step 6: Final answer
    x = 7,979.40

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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.