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Finding the Fourth Proportional to 6,456,266.40, 9,659,516.40 and 4,216,778.40

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Solution

The fourth proportional to 6,456,266.40, 9,659,516.40 and 4,216,778.40 is: 6,308,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456,266.40 : 9,659,516.40 = 4,216,778.40 : x
  2. Step 2: Convert to fraction form
    6,456,266.40/9,659,516.40 = 4,216,778.40/x
  3. Step 3: Cross multiply
    6,456,266.40x = 9,659,516.40 × 4,216,778.40
  4. Step 4: Simplify right side
    6,456,266.40x = 40,732,040,109,965.77
  5. Step 5: Solve for x
    x = 40,732,040,109,965.77/6,456,266.40
  6. Step 6: Final answer
    x = 6,308,915.65

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