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Finding the Fourth Proportional to 6,858.88, 9,465.26 and 3,715.07

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Solution

The fourth proportional to 6,858.88, 9,465.26 and 3,715.07 is: 5,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.88 : 9,465.26 = 3,715.07 : x
  2. Step 2: Convert to fraction form
    6,858.88/9,465.26 = 3,715.07/x
  3. Step 3: Cross multiply
    6,858.88x = 9,465.26 × 3,715.07
  4. Step 4: Simplify right side
    6,858.88x = 35,164,037.57
  5. Step 5: Solve for x
    x = 35,164,037.57/6,858.88
  6. Step 6: Final answer
    x = 5,126.79

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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.