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Finding the Fourth Proportional to 8,863.14, 13,282.28 and 6,386.30

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Solution

The fourth proportional to 8,863.14, 13,282.28 and 6,386.30 is: 9,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.14 : 13,282.28 = 6,386.30 : x
  2. Step 2: Convert to fraction form
    8,863.14/13,282.28 = 6,386.30/x
  3. Step 3: Cross multiply
    8,863.14x = 13,282.28 × 6,386.30
  4. Step 4: Simplify right side
    8,863.14x = 84,824,624.76
  5. Step 5: Solve for x
    x = 84,824,624.76/8,863.14
  6. Step 6: Final answer
    x = 9,570.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.