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Finding the Fourth Proportional to 6,414,537.42, 8,849,595.87 and 3,661,378.20

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Solution

The fourth proportional to 6,414,537.42, 8,849,595.87 and 3,661,378.20 is: 5,051,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,537.42 : 8,849,595.87 = 3,661,378.20 : x
  2. Step 2: Convert to fraction form
    6,414,537.42/8,849,595.87 = 3,661,378.20/x
  3. Step 3: Cross multiply
    6,414,537.42x = 8,849,595.87 × 3,661,378.20
  4. Step 4: Simplify right side
    6,414,537.42x = 32,401,717,397,228.03
  5. Step 5: Solve for x
    x = 32,401,717,397,228.03/6,414,537.42
  6. Step 6: Final answer
    x = 5,051,294.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.