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Finding the Fourth Proportional to 9,761.12, 14,638.12 and 4,212.08

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Solution

The fourth proportional to 9,761.12, 14,638.12 and 4,212.08 is: 6,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.12 : 14,638.12 = 4,212.08 : x
  2. Step 2: Convert to fraction form
    9,761.12/14,638.12 = 4,212.08/x
  3. Step 3: Cross multiply
    9,761.12x = 14,638.12 × 4,212.08
  4. Step 4: Simplify right side
    9,761.12x = 61,656,932.49
  5. Step 5: Solve for x
    x = 61,656,932.49/9,761.12
  6. Step 6: Final answer
    x = 6,316.58

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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.