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Finding the Fourth Proportional to 6,565.73, 9,063.77 and 4,209.21

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Solution

The fourth proportional to 6,565.73, 9,063.77 and 4,209.21 is: 5,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.73 : 9,063.77 = 4,209.21 : x
  2. Step 2: Convert to fraction form
    6,565.73/9,063.77 = 4,209.21/x
  3. Step 3: Cross multiply
    6,565.73x = 9,063.77 × 4,209.21
  4. Step 4: Simplify right side
    6,565.73x = 38,151,290.28
  5. Step 5: Solve for x
    x = 38,151,290.28/6,565.73
  6. Step 6: Final answer
    x = 5,810.67

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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.