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Finding the Fourth Proportional to 7,202,546.12, 9,938,409.30 and 4,146,169.64

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Solution

The fourth proportional to 7,202,546.12, 9,938,409.30 and 4,146,169.64 is: 5,721,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202,546.12 : 9,938,409.30 = 4,146,169.64 : x
  2. Step 2: Convert to fraction form
    7,202,546.12/9,938,409.30 = 4,146,169.64/x
  3. Step 3: Cross multiply
    7,202,546.12x = 9,938,409.30 × 4,146,169.64
  4. Step 4: Simplify right side
    7,202,546.12x = 41,206,330,909,553.66
  5. Step 5: Solve for x
    x = 41,206,330,909,553.66/7,202,546.12
  6. Step 6: Final answer
    x = 5,721,078.38

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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.