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Finding the Fourth Proportional to 9,513.66, 13,129.11 and 5,321.82

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Solution

The fourth proportional to 9,513.66, 13,129.11 and 5,321.82 is: 7,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.66 : 13,129.11 = 5,321.82 : x
  2. Step 2: Convert to fraction form
    9,513.66/13,129.11 = 5,321.82/x
  3. Step 3: Cross multiply
    9,513.66x = 13,129.11 × 5,321.82
  4. Step 4: Simplify right side
    9,513.66x = 69,870,760.18
  5. Step 5: Solve for x
    x = 69,870,760.18/9,513.66
  6. Step 6: Final answer
    x = 7,344.26

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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.