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Finding the Fourth Proportional to 6,426.24, 8,859.67 and 5,770.14

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Solution

The fourth proportional to 6,426.24, 8,859.67 and 5,770.14 is: 7,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.24 : 8,859.67 = 5,770.14 : x
  2. Step 2: Convert to fraction form
    6,426.24/8,859.67 = 5,770.14/x
  3. Step 3: Cross multiply
    6,426.24x = 8,859.67 × 5,770.14
  4. Step 4: Simplify right side
    6,426.24x = 51,121,536.25
  5. Step 5: Solve for x
    x = 51,121,536.25/6,426.24
  6. Step 6: Final answer
    x = 7,955.12

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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.