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Finding the Fourth Proportional to 9,326.80, 13,977.80 and 3,477.52

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Solution

The fourth proportional to 9,326.80, 13,977.80 and 3,477.52 is: 5,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.80 : 13,977.80 = 3,477.52 : x
  2. Step 2: Convert to fraction form
    9,326.80/13,977.80 = 3,477.52/x
  3. Step 3: Cross multiply
    9,326.80x = 13,977.80 × 3,477.52
  4. Step 4: Simplify right side
    9,326.80x = 48,608,079.06
  5. Step 5: Solve for x
    x = 48,608,079.06/9,326.80
  6. Step 6: Final answer
    x = 5,211.66

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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.