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Finding the Fourth Proportional to 9,785.28, 14,641.32 and 5,822.09

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Solution

The fourth proportional to 9,785.28, 14,641.32 and 5,822.09 is: 8,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.28 : 14,641.32 = 5,822.09 : x
  2. Step 2: Convert to fraction form
    9,785.28/14,641.32 = 5,822.09/x
  3. Step 3: Cross multiply
    9,785.28x = 14,641.32 × 5,822.09
  4. Step 4: Simplify right side
    9,785.28x = 85,243,082.76
  5. Step 5: Solve for x
    x = 85,243,082.76/9,785.28
  6. Step 6: Final answer
    x = 8,711.36

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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.