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Finding the Fourth Proportional to 6,502.62, 8,970.67 and 4,143.29

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Solution

The fourth proportional to 6,502.62, 8,970.67 and 4,143.29 is: 5,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.62 : 8,970.67 = 4,143.29 : x
  2. Step 2: Convert to fraction form
    6,502.62/8,970.67 = 4,143.29/x
  3. Step 3: Cross multiply
    6,502.62x = 8,970.67 × 4,143.29
  4. Step 4: Simplify right side
    6,502.62x = 37,168,099.37
  5. Step 5: Solve for x
    x = 37,168,099.37/6,502.62
  6. Step 6: Final answer
    x = 5,715.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.