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Finding the Fourth Proportional to 6,475.70, 9,706.35 and 2,777.30

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Solution

The fourth proportional to 6,475.70, 9,706.35 and 2,777.30 is: 4,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.70 : 9,706.35 = 2,777.30 : x
  2. Step 2: Convert to fraction form
    6,475.70/9,706.35 = 2,777.30/x
  3. Step 3: Cross multiply
    6,475.70x = 9,706.35 × 2,777.30
  4. Step 4: Simplify right side
    6,475.70x = 26,957,445.86
  5. Step 5: Solve for x
    x = 26,957,445.86/6,475.70
  6. Step 6: Final answer
    x = 4,162.86

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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.