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Finding the Fourth Proportional to 9,499.28, 13,112.28 and 6,524.96

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Solution

The fourth proportional to 9,499.28, 13,112.28 and 6,524.96 is: 9,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.28 : 13,112.28 = 6,524.96 : x
  2. Step 2: Convert to fraction form
    9,499.28/13,112.28 = 6,524.96/x
  3. Step 3: Cross multiply
    9,499.28x = 13,112.28 × 6,524.96
  4. Step 4: Simplify right side
    9,499.28x = 85,557,036.95
  5. Step 5: Solve for x
    x = 85,557,036.95/9,499.28
  6. Step 6: Final answer
    x = 9,006.69

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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.