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Finding the Fourth Proportional to 6,965.78, 9,603.28 and 4,972.87

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Solution

The fourth proportional to 6,965.78, 9,603.28 and 4,972.87 is: 6,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.78 : 9,603.28 = 4,972.87 : x
  2. Step 2: Convert to fraction form
    6,965.78/9,603.28 = 4,972.87/x
  3. Step 3: Cross multiply
    6,965.78x = 9,603.28 × 4,972.87
  4. Step 4: Simplify right side
    6,965.78x = 47,755,826.57
  5. Step 5: Solve for x
    x = 47,755,826.57/6,965.78
  6. Step 6: Final answer
    x = 6,855.78

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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.