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Finding the Fourth Proportional to 9,499.31, 13,124.30 and 8,097.81

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Solution

The fourth proportional to 9,499.31, 13,124.30 and 8,097.81 is: 11,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.31 : 13,124.30 = 8,097.81 : x
  2. Step 2: Convert to fraction form
    9,499.31/13,124.30 = 8,097.81/x
  3. Step 3: Cross multiply
    9,499.31x = 13,124.30 × 8,097.81
  4. Step 4: Simplify right side
    9,499.31x = 106,278,047.29
  5. Step 5: Solve for x
    x = 106,278,047.29/9,499.31
  6. Step 6: Final answer
    x = 11,187.98

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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.