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Finding the Fourth Proportional to 9,074.25, 13,599.50 and 6,171.21

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Solution

The fourth proportional to 9,074.25, 13,599.50 and 6,171.21 is: 9,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.25 : 13,599.50 = 6,171.21 : x
  2. Step 2: Convert to fraction form
    9,074.25/13,599.50 = 6,171.21/x
  3. Step 3: Cross multiply
    9,074.25x = 13,599.50 × 6,171.21
  4. Step 4: Simplify right side
    9,074.25x = 83,925,339.54
  5. Step 5: Solve for x
    x = 83,925,339.54/9,074.25
  6. Step 6: Final answer
    x = 9,248.74

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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.