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Finding the Fourth Proportional to 6,962.76, 10,447.92 and 4,617

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Solution

The fourth proportional to 6,962.76, 10,447.92 and 4,617 is: 6,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.76 : 10,447.92 = 4,617 : x
  2. Step 2: Convert to fraction form
    6,962.76/10,447.92 = 4,617/x
  3. Step 3: Cross multiply
    6,962.76x = 10,447.92 × 4,617
  4. Step 4: Simplify right side
    6,962.76x = 48,238,046.64
  5. Step 5: Solve for x
    x = 48,238,046.64/6,962.76
  6. Step 6: Final answer
    x = 6,928.01

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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.