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Finding the Fourth Proportional to 9,464.57, 13,064.17 and 6,104.80

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Solution

The fourth proportional to 9,464.57, 13,064.17 and 6,104.80 is: 8,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.57 : 13,064.17 = 6,104.80 : x
  2. Step 2: Convert to fraction form
    9,464.57/13,064.17 = 6,104.80/x
  3. Step 3: Cross multiply
    9,464.57x = 13,064.17 × 6,104.80
  4. Step 4: Simplify right side
    9,464.57x = 79,754,079.70
  5. Step 5: Solve for x
    x = 79,754,079.70/9,464.57
  6. Step 6: Final answer
    x = 8,426.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.