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Finding the Fourth Proportional to 9,331.94, 12,878.03 and 5,140.18

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Solution

The fourth proportional to 9,331.94, 12,878.03 and 5,140.18 is: 7,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.94 : 12,878.03 = 5,140.18 : x
  2. Step 2: Convert to fraction form
    9,331.94/12,878.03 = 5,140.18/x
  3. Step 3: Cross multiply
    9,331.94x = 12,878.03 × 5,140.18
  4. Step 4: Simplify right side
    9,331.94x = 66,195,392.25
  5. Step 5: Solve for x
    x = 66,195,392.25/9,331.94
  6. Step 6: Final answer
    x = 7,093.42

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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.