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Finding the Fourth Proportional to 8,763.42, 13,196.49 and 6,315.21

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Solution

The fourth proportional to 8,763.42, 13,196.49 and 6,315.21 is: 9,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.42 : 13,196.49 = 6,315.21 : x
  2. Step 2: Convert to fraction form
    8,763.42/13,196.49 = 6,315.21/x
  3. Step 3: Cross multiply
    8,763.42x = 13,196.49 × 6,315.21
  4. Step 4: Simplify right side
    8,763.42x = 83,338,605.61
  5. Step 5: Solve for x
    x = 83,338,605.61/8,763.42
  6. Step 6: Final answer
    x = 9,509.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.