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Finding the Fourth Proportional to 9,710.01, 13,399.29 and 5,731.29

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Solution

The fourth proportional to 9,710.01, 13,399.29 and 5,731.29 is: 7,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.01 : 13,399.29 = 5,731.29 : x
  2. Step 2: Convert to fraction form
    9,710.01/13,399.29 = 5,731.29/x
  3. Step 3: Cross multiply
    9,710.01x = 13,399.29 × 5,731.29
  4. Step 4: Simplify right side
    9,710.01x = 76,795,216.78
  5. Step 5: Solve for x
    x = 76,795,216.78/9,710.01
  6. Step 6: Final answer
    x = 7,908.87

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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.