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Finding the Fourth Proportional to 8,969.92, 12,378.58 and 4,937.20

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Solution

The fourth proportional to 8,969.92, 12,378.58 and 4,937.20 is: 6,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.92 : 12,378.58 = 4,937.20 : x
  2. Step 2: Convert to fraction form
    8,969.92/12,378.58 = 4,937.20/x
  3. Step 3: Cross multiply
    8,969.92x = 12,378.58 × 4,937.20
  4. Step 4: Simplify right side
    8,969.92x = 61,115,481.89
  5. Step 5: Solve for x
    x = 61,115,481.89/8,969.92
  6. Step 6: Final answer
    x = 6,813.38

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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.