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Finding the Fourth Proportional to 9,105.60, 13,657.86 and 3,182.07

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Solution

The fourth proportional to 9,105.60, 13,657.86 and 3,182.07 is: 4,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.60 : 13,657.86 = 3,182.07 : x
  2. Step 2: Convert to fraction form
    9,105.60/13,657.86 = 3,182.07/x
  3. Step 3: Cross multiply
    9,105.60x = 13,657.86 × 3,182.07
  4. Step 4: Simplify right side
    9,105.60x = 43,460,266.57
  5. Step 5: Solve for x
    x = 43,460,266.57/9,105.60
  6. Step 6: Final answer
    x = 4,772.92

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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.