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Finding the Fourth Proportional to 9,294.38, 13,939.98 and 3,054.23

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Solution

The fourth proportional to 9,294.38, 13,939.98 and 3,054.23 is: 4,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.38 : 13,939.98 = 3,054.23 : x
  2. Step 2: Convert to fraction form
    9,294.38/13,939.98 = 3,054.23/x
  3. Step 3: Cross multiply
    9,294.38x = 13,939.98 × 3,054.23
  4. Step 4: Simplify right side
    9,294.38x = 42,575,905.12
  5. Step 5: Solve for x
    x = 42,575,905.12/9,294.38
  6. Step 6: Final answer
    x = 4,580.82

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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.