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Finding the Fourth Proportional to 6,341.76, 9,512.57 and 2,443.43

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Solution

The fourth proportional to 6,341.76, 9,512.57 and 2,443.43 is: 3,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.76 : 9,512.57 = 2,443.43 : x
  2. Step 2: Convert to fraction form
    6,341.76/9,512.57 = 2,443.43/x
  3. Step 3: Cross multiply
    6,341.76x = 9,512.57 × 2,443.43
  4. Step 4: Simplify right side
    6,341.76x = 23,243,328.81
  5. Step 5: Solve for x
    x = 23,243,328.81/6,341.76
  6. Step 6: Final answer
    x = 3,665.12

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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.