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Finding the Fourth Proportional to 6,343.76, 9,513.80 and 2,447.26

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Solution

The fourth proportional to 6,343.76, 9,513.80 and 2,447.26 is: 3,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.76 : 9,513.80 = 2,447.26 : x
  2. Step 2: Convert to fraction form
    6,343.76/9,513.80 = 2,447.26/x
  3. Step 3: Cross multiply
    6,343.76x = 9,513.80 × 2,447.26
  4. Step 4: Simplify right side
    6,343.76x = 23,282,742.19
  5. Step 5: Solve for x
    x = 23,282,742.19/6,343.76
  6. Step 6: Final answer
    x = 3,670.18

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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.