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Finding the Fourth Proportional to 6,178.25, 9,259.61 and 4,414.07

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Solution

The fourth proportional to 6,178.25, 9,259.61 and 4,414.07 is: 6,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.25 : 9,259.61 = 4,414.07 : x
  2. Step 2: Convert to fraction form
    6,178.25/9,259.61 = 4,414.07/x
  3. Step 3: Cross multiply
    6,178.25x = 9,259.61 × 4,414.07
  4. Step 4: Simplify right side
    6,178.25x = 40,872,498.34
  5. Step 5: Solve for x
    x = 40,872,498.34/6,178.25
  6. Step 6: Final answer
    x = 6,615.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.