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Finding the Fourth Proportional to 10,040.59, 13,857.65 and 9,597.66

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Solution

The fourth proportional to 10,040.59, 13,857.65 and 9,597.66 is: 13,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.59 : 13,857.65 = 9,597.66 : x
  2. Step 2: Convert to fraction form
    10,040.59/13,857.65 = 9,597.66/x
  3. Step 3: Cross multiply
    10,040.59x = 13,857.65 × 9,597.66
  4. Step 4: Simplify right side
    10,040.59x = 133,001,013.10
  5. Step 5: Solve for x
    x = 133,001,013.10/10,040.59
  6. Step 6: Final answer
    x = 13,246.33

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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.