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Finding the Fourth Proportional to 9,987.14, 13,782.82 and 6,009.53

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Solution

The fourth proportional to 9,987.14, 13,782.82 and 6,009.53 is: 8,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.14 : 13,782.82 = 6,009.53 : x
  2. Step 2: Convert to fraction form
    9,987.14/13,782.82 = 6,009.53/x
  3. Step 3: Cross multiply
    9,987.14x = 13,782.82 × 6,009.53
  4. Step 4: Simplify right side
    9,987.14x = 82,828,270.27
  5. Step 5: Solve for x
    x = 82,828,270.27/9,987.14
  6. Step 6: Final answer
    x = 8,293.49

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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.