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Finding the Fourth Proportional to 9,311.80, 12,848.94 and 5,332.28

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Solution

The fourth proportional to 9,311.80, 12,848.94 and 5,332.28 is: 7,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.80 : 12,848.94 = 5,332.28 : x
  2. Step 2: Convert to fraction form
    9,311.80/12,848.94 = 5,332.28/x
  3. Step 3: Cross multiply
    9,311.80x = 12,848.94 × 5,332.28
  4. Step 4: Simplify right side
    9,311.80x = 68,514,145.78
  5. Step 5: Solve for x
    x = 68,514,145.78/9,311.80
  6. Step 6: Final answer
    x = 7,357.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.