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Finding the Fourth Proportional to 9,704.40, 14,562.25 and 4,081.66

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Solution

The fourth proportional to 9,704.40, 14,562.25 and 4,081.66 is: 6,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.40 : 14,562.25 = 4,081.66 : x
  2. Step 2: Convert to fraction form
    9,704.40/14,562.25 = 4,081.66/x
  3. Step 3: Cross multiply
    9,704.40x = 14,562.25 × 4,081.66
  4. Step 4: Simplify right side
    9,704.40x = 59,438,153.34
  5. Step 5: Solve for x
    x = 59,438,153.34/9,704.40
  6. Step 6: Final answer
    x = 6,124.87

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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.