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Finding the Fourth Proportional to 6,464.40, 8,924.95 and 4,474.23

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Solution

The fourth proportional to 6,464.40, 8,924.95 and 4,474.23 is: 6,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.40 : 8,924.95 = 4,474.23 : x
  2. Step 2: Convert to fraction form
    6,464.40/8,924.95 = 4,474.23/x
  3. Step 3: Cross multiply
    6,464.40x = 8,924.95 × 4,474.23
  4. Step 4: Simplify right side
    6,464.40x = 39,932,279.04
  5. Step 5: Solve for x
    x = 39,932,279.04/6,464.40
  6. Step 6: Final answer
    x = 6,177.26

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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.