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Finding the Fourth Proportional to 9,987.81, 13,783.31 and 5,511.75

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Solution

The fourth proportional to 9,987.81, 13,783.31 and 5,511.75 is: 7,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.81 : 13,783.31 = 5,511.75 : x
  2. Step 2: Convert to fraction form
    9,987.81/13,783.31 = 5,511.75/x
  3. Step 3: Cross multiply
    9,987.81x = 13,783.31 × 5,511.75
  4. Step 4: Simplify right side
    9,987.81x = 75,970,131.32
  5. Step 5: Solve for x
    x = 75,970,131.32/9,987.81
  6. Step 6: Final answer
    x = 7,606.29

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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.