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Finding the Fourth Proportional to 7,046.66, 9,724.37 and 3,859.95

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Solution

The fourth proportional to 7,046.66, 9,724.37 and 3,859.95 is: 5,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.66 : 9,724.37 = 3,859.95 : x
  2. Step 2: Convert to fraction form
    7,046.66/9,724.37 = 3,859.95/x
  3. Step 3: Cross multiply
    7,046.66x = 9,724.37 × 3,859.95
  4. Step 4: Simplify right side
    7,046.66x = 37,535,599.15
  5. Step 5: Solve for x
    x = 37,535,599.15/7,046.66
  6. Step 6: Final answer
    x = 5,326.72

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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.