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Finding the Fourth Proportional to 9,166.90, 13,746.24 and 2,591.54

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Solution

The fourth proportional to 9,166.90, 13,746.24 and 2,591.54 is: 3,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.90 : 13,746.24 = 2,591.54 : x
  2. Step 2: Convert to fraction form
    9,166.90/13,746.24 = 2,591.54/x
  3. Step 3: Cross multiply
    9,166.90x = 13,746.24 × 2,591.54
  4. Step 4: Simplify right side
    9,166.90x = 35,623,930.81
  5. Step 5: Solve for x
    x = 35,623,930.81/9,166.90
  6. Step 6: Final answer
    x = 3,886.15

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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.