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Finding the Fourth Proportional to 9,294.31, 13,940.79 and 3,054.25

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Solution

The fourth proportional to 9,294.31, 13,940.79 and 3,054.25 is: 4,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.31 : 13,940.79 = 3,054.25 : x
  2. Step 2: Convert to fraction form
    9,294.31/13,940.79 = 3,054.25/x
  3. Step 3: Cross multiply
    9,294.31x = 13,940.79 × 3,054.25
  4. Step 4: Simplify right side
    9,294.31x = 42,578,657.86
  5. Step 5: Solve for x
    x = 42,578,657.86/9,294.31
  6. Step 6: Final answer
    x = 4,581.15

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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.