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Finding the Fourth Proportional to 6,464.80, 8,901.68 and 4,873.76

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Solution

The fourth proportional to 6,464.80, 8,901.68 and 4,873.76 is: 6,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.80 : 8,901.68 = 4,873.76 : x
  2. Step 2: Convert to fraction form
    6,464.80/8,901.68 = 4,873.76/x
  3. Step 3: Cross multiply
    6,464.80x = 8,901.68 × 4,873.76
  4. Step 4: Simplify right side
    6,464.80x = 43,384,651.92
  5. Step 5: Solve for x
    x = 43,384,651.92/6,464.80
  6. Step 6: Final answer
    x = 6,710.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.