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Finding the Fourth Proportional to 9,874.28, 14,724.32 and 9,785.38

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Solution

The fourth proportional to 9,874.28, 14,724.32 and 9,785.38 is: 14,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.28 : 14,724.32 = 9,785.38 : x
  2. Step 2: Convert to fraction form
    9,874.28/14,724.32 = 9,785.38/x
  3. Step 3: Cross multiply
    9,874.28x = 14,724.32 × 9,785.38
  4. Step 4: Simplify right side
    9,874.28x = 144,083,066.44
  5. Step 5: Solve for x
    x = 144,083,066.44/9,874.28
  6. Step 6: Final answer
    x = 14,591.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.