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Finding the Fourth Proportional to 9,299.84, 13,951.81 and 3,061.77

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Solution

The fourth proportional to 9,299.84, 13,951.81 and 3,061.77 is: 4,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.84 : 13,951.81 = 3,061.77 : x
  2. Step 2: Convert to fraction form
    9,299.84/13,951.81 = 3,061.77/x
  3. Step 3: Cross multiply
    9,299.84x = 13,951.81 × 3,061.77
  4. Step 4: Simplify right side
    9,299.84x = 42,717,148.24
  5. Step 5: Solve for x
    x = 42,717,148.24/9,299.84
  6. Step 6: Final answer
    x = 4,593.32

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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.