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Finding the Fourth Proportional to 6,897.06, 9,517.95 and 4,102.56

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Solution

The fourth proportional to 6,897.06, 9,517.95 and 4,102.56 is: 5,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.06 : 9,517.95 = 4,102.56 : x
  2. Step 2: Convert to fraction form
    6,897.06/9,517.95 = 4,102.56/x
  3. Step 3: Cross multiply
    6,897.06x = 9,517.95 × 4,102.56
  4. Step 4: Simplify right side
    6,897.06x = 39,047,974.49
  5. Step 5: Solve for x
    x = 39,047,974.49/6,897.06
  6. Step 6: Final answer
    x = 5,661.54

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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.