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Finding the Fourth Proportional to 9,527.92, 13,139.76 and 6,538.48

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Solution

The fourth proportional to 9,527.92, 13,139.76 and 6,538.48 is: 9,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.92 : 13,139.76 = 6,538.48 : x
  2. Step 2: Convert to fraction form
    9,527.92/13,139.76 = 6,538.48/x
  3. Step 3: Cross multiply
    9,527.92x = 13,139.76 × 6,538.48
  4. Step 4: Simplify right side
    9,527.92x = 85,914,057.96
  5. Step 5: Solve for x
    x = 85,914,057.96/9,527.92
  6. Step 6: Final answer
    x = 9,017.08

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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.