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Finding the Fourth Proportional to 9,105.70, 13,641.04 and 5,585.44

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Solution

The fourth proportional to 9,105.70, 13,641.04 and 5,585.44 is: 8,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.70 : 13,641.04 = 5,585.44 : x
  2. Step 2: Convert to fraction form
    9,105.70/13,641.04 = 5,585.44/x
  3. Step 3: Cross multiply
    9,105.70x = 13,641.04 × 5,585.44
  4. Step 4: Simplify right side
    9,105.70x = 76,191,210.46
  5. Step 5: Solve for x
    x = 76,191,210.46/9,105.70
  6. Step 6: Final answer
    x = 8,367.42

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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.