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Finding the Fourth Proportional to 6,343.49, 9,501.69 and 5,152.16

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Solution

The fourth proportional to 6,343.49, 9,501.69 and 5,152.16 is: 7,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.49 : 9,501.69 = 5,152.16 : x
  2. Step 2: Convert to fraction form
    6,343.49/9,501.69 = 5,152.16/x
  3. Step 3: Cross multiply
    6,343.49x = 9,501.69 × 5,152.16
  4. Step 4: Simplify right side
    6,343.49x = 48,954,227.15
  5. Step 5: Solve for x
    x = 48,954,227.15/6,343.49
  6. Step 6: Final answer
    x = 7,717.24

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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.