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Finding the Fourth Proportional to 6,502.90, 9,763.35 and 4,177.30

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Solution

The fourth proportional to 6,502.90, 9,763.35 and 4,177.30 is: 6,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.90 : 9,763.35 = 4,177.30 : x
  2. Step 2: Convert to fraction form
    6,502.90/9,763.35 = 4,177.30/x
  3. Step 3: Cross multiply
    6,502.90x = 9,763.35 × 4,177.30
  4. Step 4: Simplify right side
    6,502.90x = 40,784,441.96
  5. Step 5: Solve for x
    x = 40,784,441.96/6,502.90
  6. Step 6: Final answer
    x = 6,271.73

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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.