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Finding the Fourth Proportional to 9,785.99, 13,515.89 and 6,443.75

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Solution

The fourth proportional to 9,785.99, 13,515.89 and 6,443.75 is: 8,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.99 : 13,515.89 = 6,443.75 : x
  2. Step 2: Convert to fraction form
    9,785.99/13,515.89 = 6,443.75/x
  3. Step 3: Cross multiply
    9,785.99x = 13,515.89 × 6,443.75
  4. Step 4: Simplify right side
    9,785.99x = 87,093,016.19
  5. Step 5: Solve for x
    x = 87,093,016.19/9,785.99
  6. Step 6: Final answer
    x = 8,899.77

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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.