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Finding the Fourth Proportional to 6,716.88, 9,254.16 and 5,035.65

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Solution

The fourth proportional to 6,716.88, 9,254.16 and 5,035.65 is: 6,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.88 : 9,254.16 = 5,035.65 : x
  2. Step 2: Convert to fraction form
    6,716.88/9,254.16 = 5,035.65/x
  3. Step 3: Cross multiply
    6,716.88x = 9,254.16 × 5,035.65
  4. Step 4: Simplify right side
    6,716.88x = 46,600,710.80
  5. Step 5: Solve for x
    x = 46,600,710.80/6,716.88
  6. Step 6: Final answer
    x = 6,937.85

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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.