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Finding the Fourth Proportional to 6,434.80, 9,657.33 and 5,521.12

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Solution

The fourth proportional to 6,434.80, 9,657.33 and 5,521.12 is: 8,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.80 : 9,657.33 = 5,521.12 : x
  2. Step 2: Convert to fraction form
    6,434.80/9,657.33 = 5,521.12/x
  3. Step 3: Cross multiply
    6,434.80x = 9,657.33 × 5,521.12
  4. Step 4: Simplify right side
    6,434.80x = 53,319,277.81
  5. Step 5: Solve for x
    x = 53,319,277.81/6,434.80
  6. Step 6: Final answer
    x = 8,286.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.