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Finding the Fourth Proportional to 9,284.90, 12,813.11 and 5,035.97

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Solution

The fourth proportional to 9,284.90, 12,813.11 and 5,035.97 is: 6,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.90 : 12,813.11 = 5,035.97 : x
  2. Step 2: Convert to fraction form
    9,284.90/12,813.11 = 5,035.97/x
  3. Step 3: Cross multiply
    9,284.90x = 12,813.11 × 5,035.97
  4. Step 4: Simplify right side
    9,284.90x = 64,526,477.47
  5. Step 5: Solve for x
    x = 64,526,477.47/9,284.90
  6. Step 6: Final answer
    x = 6,949.61

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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.