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Finding the Fourth Proportional to 9,808.32, 14,704.17 and 4,257.48

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Solution

The fourth proportional to 9,808.32, 14,704.17 and 4,257.48 is: 6,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.32 : 14,704.17 = 4,257.48 : x
  2. Step 2: Convert to fraction form
    9,808.32/14,704.17 = 4,257.48/x
  3. Step 3: Cross multiply
    9,808.32x = 14,704.17 × 4,257.48
  4. Step 4: Simplify right side
    9,808.32x = 62,602,709.69
  5. Step 5: Solve for x
    x = 62,602,709.69/9,808.32
  6. Step 6: Final answer
    x = 6,382.61

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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.