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Finding the Fourth Proportional to 7,142,993.97, 9,857,411.54 and 4,203,460.97

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Solution

The fourth proportional to 7,142,993.97, 9,857,411.54 and 4,203,460.97 is: 5,800,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142,993.97 : 9,857,411.54 = 4,203,460.97 : x
  2. Step 2: Convert to fraction form
    7,142,993.97/9,857,411.54 = 4,203,460.97/x
  3. Step 3: Cross multiply
    7,142,993.97x = 9,857,411.54 × 4,203,460.97
  4. Step 4: Simplify right side
    7,142,993.97x = 41,435,244,673,617.59
  5. Step 5: Solve for x
    x = 41,435,244,673,617.59/7,142,993.97
  6. Step 6: Final answer
    x = 5,800,823.13

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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.