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Finding the Fourth Proportional to 9,981.75, 13,774.70 and 5,505.41

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Solution

The fourth proportional to 9,981.75, 13,774.70 and 5,505.41 is: 7,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.75 : 13,774.70 = 5,505.41 : x
  2. Step 2: Convert to fraction form
    9,981.75/13,774.70 = 5,505.41/x
  3. Step 3: Cross multiply
    9,981.75x = 13,774.70 × 5,505.41
  4. Step 4: Simplify right side
    9,981.75x = 75,835,371.13
  5. Step 5: Solve for x
    x = 75,835,371.13/9,981.75
  6. Step 6: Final answer
    x = 7,597.40

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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.