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Finding the Fourth Proportional to 9,517.92, 13,134 and 5,325.60

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Solution

The fourth proportional to 9,517.92, 13,134 and 5,325.60 is: 7,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.92 : 13,134 = 5,325.60 : x
  2. Step 2: Convert to fraction form
    9,517.92/13,134 = 5,325.60/x
  3. Step 3: Cross multiply
    9,517.92x = 13,134 × 5,325.60
  4. Step 4: Simplify right side
    9,517.92x = 69,946,430.40
  5. Step 5: Solve for x
    x = 69,946,430.40/9,517.92
  6. Step 6: Final answer
    x = 7,348.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.