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Finding the Fourth Proportional to 9,145.91, 13,704.29 and 5,856.30

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Solution

The fourth proportional to 9,145.91, 13,704.29 and 5,856.30 is: 8,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.91 : 13,704.29 = 5,856.30 : x
  2. Step 2: Convert to fraction form
    9,145.91/13,704.29 = 5,856.30/x
  3. Step 3: Cross multiply
    9,145.91x = 13,704.29 × 5,856.30
  4. Step 4: Simplify right side
    9,145.91x = 80,256,426.21
  5. Step 5: Solve for x
    x = 80,256,426.21/9,145.91
  6. Step 6: Final answer
    x = 8,775.11

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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.