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Finding the Fourth Proportional to 9,560.49, 14,338.29 and 2,983.29

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Solution

The fourth proportional to 9,560.49, 14,338.29 and 2,983.29 is: 4,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.49 : 14,338.29 = 2,983.29 : x
  2. Step 2: Convert to fraction form
    9,560.49/14,338.29 = 2,983.29/x
  3. Step 3: Cross multiply
    9,560.49x = 14,338.29 × 2,983.29
  4. Step 4: Simplify right side
    9,560.49x = 42,775,277.17
  5. Step 5: Solve for x
    x = 42,775,277.17/9,560.49
  6. Step 6: Final answer
    x = 4,474.17

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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.