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Finding the Fourth Proportional to 6,897.84, 9,517.35 and 4,065.33

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Solution

The fourth proportional to 6,897.84, 9,517.35 and 4,065.33 is: 5,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.84 : 9,517.35 = 4,065.33 : x
  2. Step 2: Convert to fraction form
    6,897.84/9,517.35 = 4,065.33/x
  3. Step 3: Cross multiply
    6,897.84x = 9,517.35 × 4,065.33
  4. Step 4: Simplify right side
    6,897.84x = 38,691,168.48
  5. Step 5: Solve for x
    x = 38,691,168.48/6,897.84
  6. Step 6: Final answer
    x = 5,609.17

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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.