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Finding the Fourth Proportional to 7,106,766.22, 9,807,337.38 and 3,843,580.95

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Solution

The fourth proportional to 7,106,766.22, 9,807,337.38 and 3,843,580.95 is: 5,304,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106,766.22 : 9,807,337.38 = 3,843,580.95 : x
  2. Step 2: Convert to fraction form
    7,106,766.22/9,807,337.38 = 3,843,580.95/x
  3. Step 3: Cross multiply
    7,106,766.22x = 9,807,337.38 × 3,843,580.95
  4. Step 4: Simplify right side
    7,106,766.22x = 37,695,295,123,990.91
  5. Step 5: Solve for x
    x = 37,695,295,123,990.91/7,106,766.22
  6. Step 6: Final answer
    x = 5,304,141.71

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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.