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Finding the Fourth Proportional to 9,825.64, 14,737.10 and 3,162.81

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Solution

The fourth proportional to 9,825.64, 14,737.10 and 3,162.81 is: 4,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.64 : 14,737.10 = 3,162.81 : x
  2. Step 2: Convert to fraction form
    9,825.64/14,737.10 = 3,162.81/x
  3. Step 3: Cross multiply
    9,825.64x = 14,737.10 × 3,162.81
  4. Step 4: Simplify right side
    9,825.64x = 46,610,647.25
  5. Step 5: Solve for x
    x = 46,610,647.25/9,825.64
  6. Step 6: Final answer
    x = 4,743.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.