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Finding the Fourth Proportional to 9,633.54, 14,452.86 and 4,087.10

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Solution

The fourth proportional to 9,633.54, 14,452.86 and 4,087.10 is: 6,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.54 : 14,452.86 = 4,087.10 : x
  2. Step 2: Convert to fraction form
    9,633.54/14,452.86 = 4,087.10/x
  3. Step 3: Cross multiply
    9,633.54x = 14,452.86 × 4,087.10
  4. Step 4: Simplify right side
    9,633.54x = 59,070,284.11
  5. Step 5: Solve for x
    x = 59,070,284.11/9,633.54
  6. Step 6: Final answer
    x = 6,131.73

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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.