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Finding the Fourth Proportional to 6,473.12, 8,932.32 and 3,678.08

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Solution

The fourth proportional to 6,473.12, 8,932.32 and 3,678.08 is: 5,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.12 : 8,932.32 = 3,678.08 : x
  2. Step 2: Convert to fraction form
    6,473.12/8,932.32 = 3,678.08/x
  3. Step 3: Cross multiply
    6,473.12x = 8,932.32 × 3,678.08
  4. Step 4: Simplify right side
    6,473.12x = 32,853,787.55
  5. Step 5: Solve for x
    x = 32,853,787.55/6,473.12
  6. Step 6: Final answer
    x = 5,075.42

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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.