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Finding the Fourth Proportional to 9,894.35, 14,841.38 and 3,972.75

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Solution

The fourth proportional to 9,894.35, 14,841.38 and 3,972.75 is: 5,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.35 : 14,841.38 = 3,972.75 : x
  2. Step 2: Convert to fraction form
    9,894.35/14,841.38 = 3,972.75/x
  3. Step 3: Cross multiply
    9,894.35x = 14,841.38 × 3,972.75
  4. Step 4: Simplify right side
    9,894.35x = 58,961,024.32
  5. Step 5: Solve for x
    x = 58,961,024.32/9,894.35
  6. Step 6: Final answer
    x = 5,959.06

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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.