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Finding the Fourth Proportional to 7,046.40, 9,723.98 and 3,816.21

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Solution

The fourth proportional to 7,046.40, 9,723.98 and 3,816.21 is: 5,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.40 : 9,723.98 = 3,816.21 : x
  2. Step 2: Convert to fraction form
    7,046.40/9,723.98 = 3,816.21/x
  3. Step 3: Cross multiply
    7,046.40x = 9,723.98 × 3,816.21
  4. Step 4: Simplify right side
    7,046.40x = 37,108,730.63
  5. Step 5: Solve for x
    x = 37,108,730.63/7,046.40
  6. Step 6: Final answer
    x = 5,266.34

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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.