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Finding the Fourth Proportional to 9,517.60, 14,269.08 and 4,833.76

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Solution

The fourth proportional to 9,517.60, 14,269.08 and 4,833.76 is: 7,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.60 : 14,269.08 = 4,833.76 : x
  2. Step 2: Convert to fraction form
    9,517.60/14,269.08 = 4,833.76/x
  3. Step 3: Cross multiply
    9,517.60x = 14,269.08 × 4,833.76
  4. Step 4: Simplify right side
    9,517.60x = 68,973,308.14
  5. Step 5: Solve for x
    x = 68,973,308.14/9,517.60
  6. Step 6: Final answer
    x = 7,246.92

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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.