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Finding the Fourth Proportional to 9,981.36, 13,774.10 and 5,505.12

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Solution

The fourth proportional to 9,981.36, 13,774.10 and 5,505.12 is: 7,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.36 : 13,774.10 = 5,505.12 : x
  2. Step 2: Convert to fraction form
    9,981.36/13,774.10 = 5,505.12/x
  3. Step 3: Cross multiply
    9,981.36x = 13,774.10 × 5,505.12
  4. Step 4: Simplify right side
    9,981.36x = 75,828,045.87
  5. Step 5: Solve for x
    x = 75,828,045.87/9,981.36
  6. Step 6: Final answer
    x = 7,596.97

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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.