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Finding the Fourth Proportional to 6,965.33, 9,610.05 and 4,133.18

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Solution

The fourth proportional to 6,965.33, 9,610.05 and 4,133.18 is: 5,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.33 : 9,610.05 = 4,133.18 : x
  2. Step 2: Convert to fraction form
    6,965.33/9,610.05 = 4,133.18/x
  3. Step 3: Cross multiply
    6,965.33x = 9,610.05 × 4,133.18
  4. Step 4: Simplify right side
    6,965.33x = 39,720,066.46
  5. Step 5: Solve for x
    x = 39,720,066.46/6,965.33
  6. Step 6: Final answer
    x = 5,702.54

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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.