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Finding the Fourth Proportional to 9,753.68, 14,638.73 and 4,211.19

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Solution

The fourth proportional to 9,753.68, 14,638.73 and 4,211.19 is: 6,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.68 : 14,638.73 = 4,211.19 : x
  2. Step 2: Convert to fraction form
    9,753.68/14,638.73 = 4,211.19/x
  3. Step 3: Cross multiply
    9,753.68x = 14,638.73 × 4,211.19
  4. Step 4: Simplify right side
    9,753.68x = 61,646,452.33
  5. Step 5: Solve for x
    x = 61,646,452.33/9,753.68
  6. Step 6: Final answer
    x = 6,320.33

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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.