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Finding the Fourth Proportional to 6,414.62, 9,612.95 and 4,853.35

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Solution

The fourth proportional to 6,414.62, 9,612.95 and 4,853.35 is: 7,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.62 : 9,612.95 = 4,853.35 : x
  2. Step 2: Convert to fraction form
    6,414.62/9,612.95 = 4,853.35/x
  3. Step 3: Cross multiply
    6,414.62x = 9,612.95 × 4,853.35
  4. Step 4: Simplify right side
    6,414.62x = 46,654,962.82
  5. Step 5: Solve for x
    x = 46,654,962.82/6,414.62
  6. Step 6: Final answer
    x = 7,273.22

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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.