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Finding the Fourth Proportional to 9,298.56, 13,950.24 and 2,724.96

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Solution

The fourth proportional to 9,298.56, 13,950.24 and 2,724.96 is: 4,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.56 : 13,950.24 = 2,724.96 : x
  2. Step 2: Convert to fraction form
    9,298.56/13,950.24 = 2,724.96/x
  3. Step 3: Cross multiply
    9,298.56x = 13,950.24 × 2,724.96
  4. Step 4: Simplify right side
    9,298.56x = 38,013,845.99
  5. Step 5: Solve for x
    x = 38,013,845.99/9,298.56
  6. Step 6: Final answer
    x = 4,088.14

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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.