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Finding the Fourth Proportional to 6,328.81, 9,488.07 and 5,636.83

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Solution

The fourth proportional to 6,328.81, 9,488.07 and 5,636.83 is: 8,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.81 : 9,488.07 = 5,636.83 : x
  2. Step 2: Convert to fraction form
    6,328.81/9,488.07 = 5,636.83/x
  3. Step 3: Cross multiply
    6,328.81x = 9,488.07 × 5,636.83
  4. Step 4: Simplify right side
    6,328.81x = 53,482,637.62
  5. Step 5: Solve for x
    x = 53,482,637.62/6,328.81
  6. Step 6: Final answer
    x = 8,450.66

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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.