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Finding the Fourth Proportional to 6,735.29, 9,290.25 and 4,213.02

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Solution

The fourth proportional to 6,735.29, 9,290.25 and 4,213.02 is: 5,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.29 : 9,290.25 = 4,213.02 : x
  2. Step 2: Convert to fraction form
    6,735.29/9,290.25 = 4,213.02/x
  3. Step 3: Cross multiply
    6,735.29x = 9,290.25 × 4,213.02
  4. Step 4: Simplify right side
    6,735.29x = 39,140,009.06
  5. Step 5: Solve for x
    x = 39,140,009.06/6,735.29
  6. Step 6: Final answer
    x = 5,811.18

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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.