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Finding the Fourth Proportional to 9,790.86, 13,518.41 and 6,019.09

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Solution

The fourth proportional to 9,790.86, 13,518.41 and 6,019.09 is: 8,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.86 : 13,518.41 = 6,019.09 : x
  2. Step 2: Convert to fraction form
    9,790.86/13,518.41 = 6,019.09/x
  3. Step 3: Cross multiply
    9,790.86x = 13,518.41 × 6,019.09
  4. Step 4: Simplify right side
    9,790.86x = 81,368,507.70
  5. Step 5: Solve for x
    x = 81,368,507.70/9,790.86
  6. Step 6: Final answer
    x = 8,310.66

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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.