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Finding the Fourth Proportional to 6,836.40, 9,427.68 and 5,655.24

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Solution

The fourth proportional to 6,836.40, 9,427.68 and 5,655.24 is: 7,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.40 : 9,427.68 = 5,655.24 : x
  2. Step 2: Convert to fraction form
    6,836.40/9,427.68 = 5,655.24/x
  3. Step 3: Cross multiply
    6,836.40x = 9,427.68 × 5,655.24
  4. Step 4: Simplify right side
    6,836.40x = 53,315,793.04
  5. Step 5: Solve for x
    x = 53,315,793.04/6,836.40
  6. Step 6: Final answer
    x = 7,798.81

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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.