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Finding the Fourth Proportional to 7,046.28, 9,723.46 and 3,858.93

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Solution

The fourth proportional to 7,046.28, 9,723.46 and 3,858.93 is: 5,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.28 : 9,723.46 = 3,858.93 : x
  2. Step 2: Convert to fraction form
    7,046.28/9,723.46 = 3,858.93/x
  3. Step 3: Cross multiply
    7,046.28x = 9,723.46 × 3,858.93
  4. Step 4: Simplify right side
    7,046.28x = 37,522,151.50
  5. Step 5: Solve for x
    x = 37,522,151.50/7,046.28
  6. Step 6: Final answer
    x = 5,325.10

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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.