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Finding the Fourth Proportional to 9,091.60, 13,629.40 and 6,160.40

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Solution

The fourth proportional to 9,091.60, 13,629.40 and 6,160.40 is: 9,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.60 : 13,629.40 = 6,160.40 : x
  2. Step 2: Convert to fraction form
    9,091.60/13,629.40 = 6,160.40/x
  3. Step 3: Cross multiply
    9,091.60x = 13,629.40 × 6,160.40
  4. Step 4: Simplify right side
    9,091.60x = 83,962,555.76
  5. Step 5: Solve for x
    x = 83,962,555.76/9,091.60
  6. Step 6: Final answer
    x = 9,235.18

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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.