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Finding the Fourth Proportional to 7,202,668.38, 9,938,578.95 and 4,146,292.14

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Solution

The fourth proportional to 7,202,668.38, 9,938,578.95 and 4,146,292.14 is: 5,721,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202,668.38 : 9,938,578.95 = 4,146,292.14 : x
  2. Step 2: Convert to fraction form
    7,202,668.38/9,938,578.95 = 4,146,292.14/x
  3. Step 3: Cross multiply
    7,202,668.38x = 9,938,578.95 × 4,146,292.14
  4. Step 4: Simplify right side
    7,202,668.38x = 41,208,251,783,154.45
  5. Step 5: Solve for x
    x = 41,208,251,783,154.45/7,202,668.38
  6. Step 6: Final answer
    x = 5,721,247.96

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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.