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Finding the Fourth Proportional to 9,629.01, 13,284.14 and 5,850.77

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Solution

The fourth proportional to 9,629.01, 13,284.14 and 5,850.77 is: 8,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.01 : 13,284.14 = 5,850.77 : x
  2. Step 2: Convert to fraction form
    9,629.01/13,284.14 = 5,850.77/x
  3. Step 3: Cross multiply
    9,629.01x = 13,284.14 × 5,850.77
  4. Step 4: Simplify right side
    9,629.01x = 77,722,352.11
  5. Step 5: Solve for x
    x = 77,722,352.11/9,629.01
  6. Step 6: Final answer
    x = 8,071.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.