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Finding the Fourth Proportional to 6,253.22, 9,426.68 and 5,830.42

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Solution

The fourth proportional to 6,253.22, 9,426.68 and 5,830.42 is: 8,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.22 : 9,426.68 = 5,830.42 : x
  2. Step 2: Convert to fraction form
    6,253.22/9,426.68 = 5,830.42/x
  3. Step 3: Cross multiply
    6,253.22x = 9,426.68 × 5,830.42
  4. Step 4: Simplify right side
    6,253.22x = 54,961,474.45
  5. Step 5: Solve for x
    x = 54,961,474.45/6,253.22
  6. Step 6: Final answer
    x = 8,789.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.