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Finding the Fourth Proportional to 6,214.33, 8,572.88 and 3,695.03

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Solution

The fourth proportional to 6,214.33, 8,572.88 and 3,695.03 is: 5,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.33 : 8,572.88 = 3,695.03 : x
  2. Step 2: Convert to fraction form
    6,214.33/8,572.88 = 3,695.03/x
  3. Step 3: Cross multiply
    6,214.33x = 8,572.88 × 3,695.03
  4. Step 4: Simplify right side
    6,214.33x = 31,677,015.16
  5. Step 5: Solve for x
    x = 31,677,015.16/6,214.33
  6. Step 6: Final answer
    x = 5,097.42

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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.