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Finding the Fourth Proportional to 9,884.45, 13,617.42 and 6,894.95

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Solution

The fourth proportional to 9,884.45, 13,617.42 and 6,894.95 is: 9,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.45 : 13,617.42 = 6,894.95 : x
  2. Step 2: Convert to fraction form
    9,884.45/13,617.42 = 6,894.95/x
  3. Step 3: Cross multiply
    9,884.45x = 13,617.42 × 6,894.95
  4. Step 4: Simplify right side
    9,884.45x = 93,891,361.94
  5. Step 5: Solve for x
    x = 93,891,361.94/9,884.45
  6. Step 6: Final answer
    x = 9,498.90

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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.