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Finding the Fourth Proportional to 9,811.26, 13,530.57 and 7,299.66

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Solution

The fourth proportional to 9,811.26, 13,530.57 and 7,299.66 is: 10,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.26 : 13,530.57 = 7,299.66 : x
  2. Step 2: Convert to fraction form
    9,811.26/13,530.57 = 7,299.66/x
  3. Step 3: Cross multiply
    9,811.26x = 13,530.57 × 7,299.66
  4. Step 4: Simplify right side
    9,811.26x = 98,768,560.61
  5. Step 5: Solve for x
    x = 98,768,560.61/9,811.26
  6. Step 6: Final answer
    x = 10,066.86

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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.