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Finding the Fourth Proportional to 9,499.29, 13,098.96 and 6,519.48

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Solution

The fourth proportional to 9,499.29, 13,098.96 and 6,519.48 is: 8,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.29 : 13,098.96 = 6,519.48 : x
  2. Step 2: Convert to fraction form
    9,499.29/13,098.96 = 6,519.48/x
  3. Step 3: Cross multiply
    9,499.29x = 13,098.96 × 6,519.48
  4. Step 4: Simplify right side
    9,499.29x = 85,398,407.74
  5. Step 5: Solve for x
    x = 85,398,407.74/9,499.29
  6. Step 6: Final answer
    x = 8,989.98

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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.