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Finding the Fourth Proportional to 9,314.52, 13,971.78 and 4,049.34

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Solution

The fourth proportional to 9,314.52, 13,971.78 and 4,049.34 is: 6,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.52 : 13,971.78 = 4,049.34 : x
  2. Step 2: Convert to fraction form
    9,314.52/13,971.78 = 4,049.34/x
  3. Step 3: Cross multiply
    9,314.52x = 13,971.78 × 4,049.34
  4. Step 4: Simplify right side
    9,314.52x = 56,576,487.63
  5. Step 5: Solve for x
    x = 56,576,487.63/9,314.52
  6. Step 6: Final answer
    x = 6,074.01

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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.