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Finding the Fourth Proportional to 9,985.97, 14,981.26 and 2,965.83

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Solution

The fourth proportional to 9,985.97, 14,981.26 and 2,965.83 is: 4,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.97 : 14,981.26 = 2,965.83 : x
  2. Step 2: Convert to fraction form
    9,985.97/14,981.26 = 2,965.83/x
  3. Step 3: Cross multiply
    9,985.97x = 14,981.26 × 2,965.83
  4. Step 4: Simplify right side
    9,985.97x = 44,431,780.61
  5. Step 5: Solve for x
    x = 44,431,780.61/9,985.97
  6. Step 6: Final answer
    x = 4,449.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.