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Finding the Fourth Proportional to 6,465.80, 9,687.90 and 4,273.40

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Solution

The fourth proportional to 6,465.80, 9,687.90 and 4,273.40 is: 6,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.80 : 9,687.90 = 4,273.40 : x
  2. Step 2: Convert to fraction form
    6,465.80/9,687.90 = 4,273.40/x
  3. Step 3: Cross multiply
    6,465.80x = 9,687.90 × 4,273.40
  4. Step 4: Simplify right side
    6,465.80x = 41,400,271.86
  5. Step 5: Solve for x
    x = 41,400,271.86/6,465.80
  6. Step 6: Final answer
    x = 6,402.96

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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.