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Finding the Fourth Proportional to 7,122,463.95, 9,829,034.47 and 3,859,277.82

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Solution

The fourth proportional to 7,122,463.95, 9,829,034.47 and 3,859,277.82 is: 5,325,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,463.95 : 9,829,034.47 = 3,859,277.82 : x
  2. Step 2: Convert to fraction form
    7,122,463.95/9,829,034.47 = 3,859,277.82/x
  3. Step 3: Cross multiply
    7,122,463.95x = 9,829,034.47 × 3,859,277.82
  4. Step 4: Simplify right side
    7,122,463.95x = 37,932,974,722,086.45
  5. Step 5: Solve for x
    x = 37,932,974,722,086.45/7,122,463.95
  6. Step 6: Final answer
    x = 5,325,821.93

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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.