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Finding the Fourth Proportional to 9,708.83, 14,565.84 and 3,469.49

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Solution

The fourth proportional to 9,708.83, 14,565.84 and 3,469.49 is: 5,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.83 : 14,565.84 = 3,469.49 : x
  2. Step 2: Convert to fraction form
    9,708.83/14,565.84 = 3,469.49/x
  3. Step 3: Cross multiply
    9,708.83x = 14,565.84 × 3,469.49
  4. Step 4: Simplify right side
    9,708.83x = 50,536,036.22
  5. Step 5: Solve for x
    x = 50,536,036.22/9,708.83
  6. Step 6: Final answer
    x = 5,205.16

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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.