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Finding the Fourth Proportional to 6,716.46, 9,270.54 and 4,197.06

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Solution

The fourth proportional to 6,716.46, 9,270.54 and 4,197.06 is: 5,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.46 : 9,270.54 = 4,197.06 : x
  2. Step 2: Convert to fraction form
    6,716.46/9,270.54 = 4,197.06/x
  3. Step 3: Cross multiply
    6,716.46x = 9,270.54 × 4,197.06
  4. Step 4: Simplify right side
    6,716.46x = 38,909,012.61
  5. Step 5: Solve for x
    x = 38,909,012.61/6,716.46
  6. Step 6: Final answer
    x = 5,793.08

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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.