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Finding the Fourth Proportional to 9,827.80, 14,732.40 and 3,250.39

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Solution

The fourth proportional to 9,827.80, 14,732.40 and 3,250.39 is: 4,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.80 : 14,732.40 = 3,250.39 : x
  2. Step 2: Convert to fraction form
    9,827.80/14,732.40 = 3,250.39/x
  3. Step 3: Cross multiply
    9,827.80x = 14,732.40 × 3,250.39
  4. Step 4: Simplify right side
    9,827.80x = 47,886,045.64
  5. Step 5: Solve for x
    x = 47,886,045.64/9,827.80
  6. Step 6: Final answer
    x = 4,872.51

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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.