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Finding the Fourth Proportional to 6,468.20, 8,924.63 and 4,678.31

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Solution

The fourth proportional to 6,468.20, 8,924.63 and 4,678.31 is: 6,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.20 : 8,924.63 = 4,678.31 : x
  2. Step 2: Convert to fraction form
    6,468.20/8,924.63 = 4,678.31/x
  3. Step 3: Cross multiply
    6,468.20x = 8,924.63 × 4,678.31
  4. Step 4: Simplify right side
    6,468.20x = 41,752,160.81
  5. Step 5: Solve for x
    x = 41,752,160.81/6,468.20
  6. Step 6: Final answer
    x = 6,454.98

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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.