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Finding the Fourth Proportional to 9,285.84, 13,928.93 and 2,265.87

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Solution

The fourth proportional to 9,285.84, 13,928.93 and 2,265.87 is: 3,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.84 : 13,928.93 = 2,265.87 : x
  2. Step 2: Convert to fraction form
    9,285.84/13,928.93 = 2,265.87/x
  3. Step 3: Cross multiply
    9,285.84x = 13,928.93 × 2,265.87
  4. Step 4: Simplify right side
    9,285.84x = 31,561,133.29
  5. Step 5: Solve for x
    x = 31,561,133.29/9,285.84
  6. Step 6: Final answer
    x = 3,398.85

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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.