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Finding the Fourth Proportional to 9,622.52, 13,278.12 and 5,429.96

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Solution

The fourth proportional to 9,622.52, 13,278.12 and 5,429.96 is: 7,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.52 : 13,278.12 = 5,429.96 : x
  2. Step 2: Convert to fraction form
    9,622.52/13,278.12 = 5,429.96/x
  3. Step 3: Cross multiply
    9,622.52x = 13,278.12 × 5,429.96
  4. Step 4: Simplify right side
    9,622.52x = 72,099,660.48
  5. Step 5: Solve for x
    x = 72,099,660.48/9,622.52
  6. Step 6: Final answer
    x = 7,492.80

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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.