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Finding the Fourth Proportional to 6,565.35, 9,063.25 and 4,208.84

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Solution

The fourth proportional to 6,565.35, 9,063.25 and 4,208.84 is: 5,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.35 : 9,063.25 = 4,208.84 : x
  2. Step 2: Convert to fraction form
    6,565.35/9,063.25 = 4,208.84/x
  3. Step 3: Cross multiply
    6,565.35x = 9,063.25 × 4,208.84
  4. Step 4: Simplify right side
    6,565.35x = 38,145,713.29
  5. Step 5: Solve for x
    x = 38,145,713.29/6,565.35
  6. Step 6: Final answer
    x = 5,810.16

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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.