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Finding the Fourth Proportional to 9,871.70, 14,805.95 and 3,297.87

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Solution

The fourth proportional to 9,871.70, 14,805.95 and 3,297.87 is: 4,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.70 : 14,805.95 = 3,297.87 : x
  2. Step 2: Convert to fraction form
    9,871.70/14,805.95 = 3,297.87/x
  3. Step 3: Cross multiply
    9,871.70x = 14,805.95 × 3,297.87
  4. Step 4: Simplify right side
    9,871.70x = 48,828,081.84
  5. Step 5: Solve for x
    x = 48,828,081.84/9,871.70
  6. Step 6: Final answer
    x = 4,946.27

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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.