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Finding the Fourth Proportional to 6,939.95, 9,578.33 and 6,709.28

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Solution

The fourth proportional to 6,939.95, 9,578.33 and 6,709.28 is: 9,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.95 : 9,578.33 = 6,709.28 : x
  2. Step 2: Convert to fraction form
    6,939.95/9,578.33 = 6,709.28/x
  3. Step 3: Cross multiply
    6,939.95x = 9,578.33 × 6,709.28
  4. Step 4: Simplify right side
    6,939.95x = 64,263,733.24
  5. Step 5: Solve for x
    x = 64,263,733.24/6,939.95
  6. Step 6: Final answer
    x = 9,259.98

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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.