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Finding the Fourth Proportional to 9,871.04, 14,787.02 and 5,184.02

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Solution

The fourth proportional to 9,871.04, 14,787.02 and 5,184.02 is: 7,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.04 : 14,787.02 = 5,184.02 : x
  2. Step 2: Convert to fraction form
    9,871.04/14,787.02 = 5,184.02/x
  3. Step 3: Cross multiply
    9,871.04x = 14,787.02 × 5,184.02
  4. Step 4: Simplify right side
    9,871.04x = 76,656,107.57
  5. Step 5: Solve for x
    x = 76,656,107.57/9,871.04
  6. Step 6: Final answer
    x = 7,765.76

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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.