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Finding the Fourth Proportional to 9,298.22, 13,946.31 and 2,724.47

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Solution

The fourth proportional to 9,298.22, 13,946.31 and 2,724.47 is: 4,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.22 : 13,946.31 = 2,724.47 : x
  2. Step 2: Convert to fraction form
    9,298.22/13,946.31 = 2,724.47/x
  3. Step 3: Cross multiply
    9,298.22x = 13,946.31 × 2,724.47
  4. Step 4: Simplify right side
    9,298.22x = 37,996,303.21
  5. Step 5: Solve for x
    x = 37,996,303.21/9,298.22
  6. Step 6: Final answer
    x = 4,086.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.