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Finding the Fourth Proportional to 9,871.57, 14,808.12 and 3,297.77

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Solution

The fourth proportional to 9,871.57, 14,808.12 and 3,297.77 is: 4,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.57 : 14,808.12 = 3,297.77 : x
  2. Step 2: Convert to fraction form
    9,871.57/14,808.12 = 3,297.77/x
  3. Step 3: Cross multiply
    9,871.57x = 14,808.12 × 3,297.77
  4. Step 4: Simplify right side
    9,871.57x = 48,833,854.14
  5. Step 5: Solve for x
    x = 48,833,854.14/9,871.57
  6. Step 6: Final answer
    x = 4,946.92

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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.