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Finding the Fourth Proportional to 9,105.40, 13,658.10 and 5,808.70

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Solution

The fourth proportional to 9,105.40, 13,658.10 and 5,808.70 is: 8,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.40 : 13,658.10 = 5,808.70 : x
  2. Step 2: Convert to fraction form
    9,105.40/13,658.10 = 5,808.70/x
  3. Step 3: Cross multiply
    9,105.40x = 13,658.10 × 5,808.70
  4. Step 4: Simplify right side
    9,105.40x = 79,335,805.47
  5. Step 5: Solve for x
    x = 79,335,805.47/9,105.40
  6. Step 6: Final answer
    x = 8,713.05

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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.