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Finding the Fourth Proportional to 6,864.42, 9,473.04 and 3,880.32

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Solution

The fourth proportional to 6,864.42, 9,473.04 and 3,880.32 is: 5,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.42 : 9,473.04 = 3,880.32 : x
  2. Step 2: Convert to fraction form
    6,864.42/9,473.04 = 3,880.32/x
  3. Step 3: Cross multiply
    6,864.42x = 9,473.04 × 3,880.32
  4. Step 4: Simplify right side
    6,864.42x = 36,758,426.57
  5. Step 5: Solve for x
    x = 36,758,426.57/6,864.42
  6. Step 6: Final answer
    x = 5,354.92

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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.