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Finding the Fourth Proportional to 9,513.17, 13,128.54 and 5,321.42

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Solution

The fourth proportional to 9,513.17, 13,128.54 and 5,321.42 is: 7,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.17 : 13,128.54 = 5,321.42 : x
  2. Step 2: Convert to fraction form
    9,513.17/13,128.54 = 5,321.42/x
  3. Step 3: Cross multiply
    9,513.17x = 13,128.54 × 5,321.42
  4. Step 4: Simplify right side
    9,513.17x = 69,862,475.33
  5. Step 5: Solve for x
    x = 69,862,475.33/9,513.17
  6. Step 6: Final answer
    x = 7,343.76

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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.