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Finding the Fourth Proportional to 9,765.13, 13,475.29 and 5,988.31

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Solution

The fourth proportional to 9,765.13, 13,475.29 and 5,988.31 is: 8,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.13 : 13,475.29 = 5,988.31 : x
  2. Step 2: Convert to fraction form
    9,765.13/13,475.29 = 5,988.31/x
  3. Step 3: Cross multiply
    9,765.13x = 13,475.29 × 5,988.31
  4. Step 4: Simplify right side
    9,765.13x = 80,694,213.86
  5. Step 5: Solve for x
    x = 80,694,213.86/9,765.13
  6. Step 6: Final answer
    x = 8,263.51

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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.