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Finding the Fourth Proportional to 7,079.12, 9,767.40 and 4,284.08

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Solution

The fourth proportional to 7,079.12, 9,767.40 and 4,284.08 is: 5,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.12 : 9,767.40 = 4,284.08 : x
  2. Step 2: Convert to fraction form
    7,079.12/9,767.40 = 4,284.08/x
  3. Step 3: Cross multiply
    7,079.12x = 9,767.40 × 4,284.08
  4. Step 4: Simplify right side
    7,079.12x = 41,844,322.99
  5. Step 5: Solve for x
    x = 41,844,322.99/7,079.12
  6. Step 6: Final answer
    x = 5,910.95

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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.