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Finding the Fourth Proportional to 9,822.32, 14,735.24 and 3,253.20

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Solution

The fourth proportional to 9,822.32, 14,735.24 and 3,253.20 is: 4,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.32 : 14,735.24 = 3,253.20 : x
  2. Step 2: Convert to fraction form
    9,822.32/14,735.24 = 3,253.20/x
  3. Step 3: Cross multiply
    9,822.32x = 14,735.24 × 3,253.20
  4. Step 4: Simplify right side
    9,822.32x = 47,936,682.77
  5. Step 5: Solve for x
    x = 47,936,682.77/9,822.32
  6. Step 6: Final answer
    x = 4,880.38

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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.