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Finding the Fourth Proportional to 9,509.12, 14,250.72 and 5,812.64

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Solution

The fourth proportional to 9,509.12, 14,250.72 and 5,812.64 is: 8,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.12 : 14,250.72 = 5,812.64 : x
  2. Step 2: Convert to fraction form
    9,509.12/14,250.72 = 5,812.64/x
  3. Step 3: Cross multiply
    9,509.12x = 14,250.72 × 5,812.64
  4. Step 4: Simplify right side
    9,509.12x = 82,834,305.10
  5. Step 5: Solve for x
    x = 82,834,305.10/9,509.12
  6. Step 6: Final answer
    x = 8,711.04

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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.