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Finding the Fourth Proportional to 6,384.76, 9,569.03 and 2,871.02

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Solution

The fourth proportional to 6,384.76, 9,569.03 and 2,871.02 is: 4,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.76 : 9,569.03 = 2,871.02 : x
  2. Step 2: Convert to fraction form
    6,384.76/9,569.03 = 2,871.02/x
  3. Step 3: Cross multiply
    6,384.76x = 9,569.03 × 2,871.02
  4. Step 4: Simplify right side
    6,384.76x = 27,472,814.31
  5. Step 5: Solve for x
    x = 27,472,814.31/6,384.76
  6. Step 6: Final answer
    x = 4,302.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.