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Finding the Fourth Proportional to 9,535.84, 14,304.08 and 2,872.64

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Solution

The fourth proportional to 9,535.84, 14,304.08 and 2,872.64 is: 4,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.84 : 14,304.08 = 2,872.64 : x
  2. Step 2: Convert to fraction form
    9,535.84/14,304.08 = 2,872.64/x
  3. Step 3: Cross multiply
    9,535.84x = 14,304.08 × 2,872.64
  4. Step 4: Simplify right side
    9,535.84x = 41,090,472.37
  5. Step 5: Solve for x
    x = 41,090,472.37/9,535.84
  6. Step 6: Final answer
    x = 4,309.06

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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.