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Finding the Fourth Proportional to 6,861.71, 9,463.40 and 5,443.16

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Solution

The fourth proportional to 6,861.71, 9,463.40 and 5,443.16 is: 7,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.71 : 9,463.40 = 5,443.16 : x
  2. Step 2: Convert to fraction form
    6,861.71/9,463.40 = 5,443.16/x
  3. Step 3: Cross multiply
    6,861.71x = 9,463.40 × 5,443.16
  4. Step 4: Simplify right side
    6,861.71x = 51,510,725.81
  5. Step 5: Solve for x
    x = 51,510,725.81/6,861.71
  6. Step 6: Final answer
    x = 7,506.98

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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.