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Finding the Fourth Proportional to 9,528.92, 13,141.14 and 6,539.48

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Solution

The fourth proportional to 9,528.92, 13,141.14 and 6,539.48 is: 9,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.92 : 13,141.14 = 6,539.48 : x
  2. Step 2: Convert to fraction form
    9,528.92/13,141.14 = 6,539.48/x
  3. Step 3: Cross multiply
    9,528.92x = 13,141.14 × 6,539.48
  4. Step 4: Simplify right side
    9,528.92x = 85,936,222.21
  5. Step 5: Solve for x
    x = 85,936,222.21/9,528.92
  6. Step 6: Final answer
    x = 9,018.46

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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.