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Finding the Fourth Proportional to 9,911.47, 13,679.22 and 6,135.84

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Solution

The fourth proportional to 9,911.47, 13,679.22 and 6,135.84 is: 8,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.47 : 13,679.22 = 6,135.84 : x
  2. Step 2: Convert to fraction form
    9,911.47/13,679.22 = 6,135.84/x
  3. Step 3: Cross multiply
    9,911.47x = 13,679.22 × 6,135.84
  4. Step 4: Simplify right side
    9,911.47x = 83,933,505.24
  5. Step 5: Solve for x
    x = 83,933,505.24/9,911.47
  6. Step 6: Final answer
    x = 8,468.32

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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.