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Finding the Fourth Proportional to 9,987.85, 13,783.14 and 5,511.64

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Solution

The fourth proportional to 9,987.85, 13,783.14 and 5,511.64 is: 7,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.85 : 13,783.14 = 5,511.64 : x
  2. Step 2: Convert to fraction form
    9,987.85/13,783.14 = 5,511.64/x
  3. Step 3: Cross multiply
    9,987.85x = 13,783.14 × 5,511.64
  4. Step 4: Simplify right side
    9,987.85x = 75,967,705.75
  5. Step 5: Solve for x
    x = 75,967,705.75/9,987.85
  6. Step 6: Final answer
    x = 7,606.01

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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.