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Finding the Fourth Proportional to 9,822.48, 14,741.04 and 5,435.52

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Solution

The fourth proportional to 9,822.48, 14,741.04 and 5,435.52 is: 8,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.48 : 14,741.04 = 5,435.52 : x
  2. Step 2: Convert to fraction form
    9,822.48/14,741.04 = 5,435.52/x
  3. Step 3: Cross multiply
    9,822.48x = 14,741.04 × 5,435.52
  4. Step 4: Simplify right side
    9,822.48x = 80,125,217.74
  5. Step 5: Solve for x
    x = 80,125,217.74/9,822.48
  6. Step 6: Final answer
    x = 8,157.33

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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.