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Finding the Fourth Proportional to 6,426.70, 9,638.86 and 2,915.86

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Solution

The fourth proportional to 6,426.70, 9,638.86 and 2,915.86 is: 4,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.70 : 9,638.86 = 2,915.86 : x
  2. Step 2: Convert to fraction form
    6,426.70/9,638.86 = 2,915.86/x
  3. Step 3: Cross multiply
    6,426.70x = 9,638.86 × 2,915.86
  4. Step 4: Simplify right side
    6,426.70x = 28,105,545.63
  5. Step 5: Solve for x
    x = 28,105,545.63/6,426.70
  6. Step 6: Final answer
    x = 4,373.25

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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.