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Finding the Fourth Proportional to 9,981.62, 13,780.26 and 6,629.02

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Solution

The fourth proportional to 9,981.62, 13,780.26 and 6,629.02 is: 9,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.62 : 13,780.26 = 6,629.02 : x
  2. Step 2: Convert to fraction form
    9,981.62/13,780.26 = 6,629.02/x
  3. Step 3: Cross multiply
    9,981.62x = 13,780.26 × 6,629.02
  4. Step 4: Simplify right side
    9,981.62x = 91,349,619.15
  5. Step 5: Solve for x
    x = 91,349,619.15/9,981.62
  6. Step 6: Final answer
    x = 9,151.78

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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.