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Finding the Fourth Proportional to 6,876,977.82, 9,480,744.78 and 5,486,258.46

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Solution

The fourth proportional to 6,876,977.82, 9,480,744.78 and 5,486,258.46 is: 7,563,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876,977.82 : 9,480,744.78 = 5,486,258.46 : x
  2. Step 2: Convert to fraction form
    6,876,977.82/9,480,744.78 = 5,486,258.46/x
  3. Step 3: Cross multiply
    6,876,977.82x = 9,480,744.78 × 5,486,258.46
  4. Step 4: Simplify right side
    6,876,977.82x = 52,013,816,256,375.84
  5. Step 5: Solve for x
    x = 52,013,816,256,375.84/6,876,977.82
  6. Step 6: Final answer
    x = 7,563,470.12

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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.