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Finding the Fourth Proportional to 9,722.42, 13,415.59 and 5,472.75

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Solution

The fourth proportional to 9,722.42, 13,415.59 and 5,472.75 is: 7,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.42 : 13,415.59 = 5,472.75 : x
  2. Step 2: Convert to fraction form
    9,722.42/13,415.59 = 5,472.75/x
  3. Step 3: Cross multiply
    9,722.42x = 13,415.59 × 5,472.75
  4. Step 4: Simplify right side
    9,722.42x = 73,420,170.17
  5. Step 5: Solve for x
    x = 73,420,170.17/9,722.42
  6. Step 6: Final answer
    x = 7,551.64

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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.