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Finding the Fourth Proportional to 9,987.82, 14,977.09 and 5,829.03

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Solution

The fourth proportional to 9,987.82, 14,977.09 and 5,829.03 is: 8,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.82 : 14,977.09 = 5,829.03 : x
  2. Step 2: Convert to fraction form
    9,987.82/14,977.09 = 5,829.03/x
  3. Step 3: Cross multiply
    9,987.82x = 14,977.09 × 5,829.03
  4. Step 4: Simplify right side
    9,987.82x = 87,301,906.92
  5. Step 5: Solve for x
    x = 87,301,906.92/9,987.82
  6. Step 6: Final answer
    x = 8,740.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.