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Finding the Fourth Proportional to 6,329,806.05, 9,494,709.20 and 1,537,463.02

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Solution

The fourth proportional to 6,329,806.05, 9,494,709.20 and 1,537,463.02 is: 2,306,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329,806.05 : 9,494,709.20 = 1,537,463.02 : x
  2. Step 2: Convert to fraction form
    6,329,806.05/9,494,709.20 = 1,537,463.02/x
  3. Step 3: Cross multiply
    6,329,806.05x = 9,494,709.20 × 1,537,463.02
  4. Step 4: Simplify right side
    6,329,806.05x = 14,597,764,280,653.78
  5. Step 5: Solve for x
    x = 14,597,764,280,653.78/6,329,806.05
  6. Step 6: Final answer
    x = 2,306,194.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.