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Finding the Fourth Proportional to 8,894.80, 12,277.38 and 6,242.86

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Solution

The fourth proportional to 8,894.80, 12,277.38 and 6,242.86 is: 8,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.80 : 12,277.38 = 6,242.86 : x
  2. Step 2: Convert to fraction form
    8,894.80/12,277.38 = 6,242.86/x
  3. Step 3: Cross multiply
    8,894.80x = 12,277.38 × 6,242.86
  4. Step 4: Simplify right side
    8,894.80x = 76,645,964.51
  5. Step 5: Solve for x
    x = 76,645,964.51/8,894.80
  6. Step 6: Final answer
    x = 8,616.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.