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Finding the Fourth Proportional to 9,722.44, 13,416.21 and 5,742.79

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Solution

The fourth proportional to 9,722.44, 13,416.21 and 5,742.79 is: 7,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.44 : 13,416.21 = 5,742.79 : x
  2. Step 2: Convert to fraction form
    9,722.44/13,416.21 = 5,742.79/x
  3. Step 3: Cross multiply
    9,722.44x = 13,416.21 × 5,742.79
  4. Step 4: Simplify right side
    9,722.44x = 77,046,476.63
  5. Step 5: Solve for x
    x = 77,046,476.63/9,722.44
  6. Step 6: Final answer
    x = 7,924.60

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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.