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Finding the Fourth Proportional to 6,478.74, 9,717.07 and 2,317.98

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Solution

The fourth proportional to 6,478.74, 9,717.07 and 2,317.98 is: 3,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.74 : 9,717.07 = 2,317.98 : x
  2. Step 2: Convert to fraction form
    6,478.74/9,717.07 = 2,317.98/x
  3. Step 3: Cross multiply
    6,478.74x = 9,717.07 × 2,317.98
  4. Step 4: Simplify right side
    6,478.74x = 22,523,973.92
  5. Step 5: Solve for x
    x = 22,523,973.92/6,478.74
  6. Step 6: Final answer
    x = 3,476.60

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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.