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Finding the Fourth Proportional to 9,294.43, 13,943.15 and 3,052.63

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Solution

The fourth proportional to 9,294.43, 13,943.15 and 3,052.63 is: 4,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.43 : 13,943.15 = 3,052.63 : x
  2. Step 2: Convert to fraction form
    9,294.43/13,943.15 = 3,052.63/x
  3. Step 3: Cross multiply
    9,294.43x = 13,943.15 × 3,052.63
  4. Step 4: Simplify right side
    9,294.43x = 42,563,277.98
  5. Step 5: Solve for x
    x = 42,563,277.98/9,294.43
  6. Step 6: Final answer
    x = 4,579.44

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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.