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Finding the Fourth Proportional to 6,478.95, 9,716.04 and 2,317.83

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Solution

The fourth proportional to 6,478.95, 9,716.04 and 2,317.83 is: 3,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.95 : 9,716.04 = 2,317.83 : x
  2. Step 2: Convert to fraction form
    6,478.95/9,716.04 = 2,317.83/x
  3. Step 3: Cross multiply
    6,478.95x = 9,716.04 × 2,317.83
  4. Step 4: Simplify right side
    6,478.95x = 22,520,128.99
  5. Step 5: Solve for x
    x = 22,520,128.99/6,478.95
  6. Step 6: Final answer
    x = 3,475.89

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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.