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Finding the Fourth Proportional to 8,864.64, 13,242.72 and 6,378.24

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Solution

The fourth proportional to 8,864.64, 13,242.72 and 6,378.24 is: 9,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.64 : 13,242.72 = 6,378.24 : x
  2. Step 2: Convert to fraction form
    8,864.64/13,242.72 = 6,378.24/x
  3. Step 3: Cross multiply
    8,864.64x = 13,242.72 × 6,378.24
  4. Step 4: Simplify right side
    8,864.64x = 84,465,246.41
  5. Step 5: Solve for x
    x = 84,465,246.41/8,864.64
  6. Step 6: Final answer
    x = 9,528.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.