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Finding the Fourth Proportional to 7,100,942.94, 9,798,545.43 and 4,200,443.10

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Solution

The fourth proportional to 7,100,942.94, 9,798,545.43 and 4,200,443.10 is: 5,796,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100,942.94 : 9,798,545.43 = 4,200,443.10 : x
  2. Step 2: Convert to fraction form
    7,100,942.94/9,798,545.43 = 4,200,443.10/x
  3. Step 3: Cross multiply
    7,100,942.94x = 9,798,545.43 × 4,200,443.10
  4. Step 4: Simplify right side
    7,100,942.94x = 41,158,232,541,480.03
  5. Step 5: Solve for x
    x = 41,158,232,541,480.03/7,100,942.94
  6. Step 6: Final answer
    x = 5,796,164.38

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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.