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Finding the Fourth Proportional to 6,468.62, 9,701.55 and 2,957.63

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Solution

The fourth proportional to 6,468.62, 9,701.55 and 2,957.63 is: 4,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.62 : 9,701.55 = 2,957.63 : x
  2. Step 2: Convert to fraction form
    6,468.62/9,701.55 = 2,957.63/x
  3. Step 3: Cross multiply
    6,468.62x = 9,701.55 × 2,957.63
  4. Step 4: Simplify right side
    6,468.62x = 28,693,595.33
  5. Step 5: Solve for x
    x = 28,693,595.33/6,468.62
  6. Step 6: Final answer
    x = 4,435.81

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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.