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Finding the Fourth Proportional to 9,858.92, 14,743.46 and 7,361.86

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Solution

The fourth proportional to 9,858.92, 14,743.46 and 7,361.86 is: 11,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.92 : 14,743.46 = 7,361.86 : x
  2. Step 2: Convert to fraction form
    9,858.92/14,743.46 = 7,361.86/x
  3. Step 3: Cross multiply
    9,858.92x = 14,743.46 × 7,361.86
  4. Step 4: Simplify right side
    9,858.92x = 108,539,288.44
  5. Step 5: Solve for x
    x = 108,539,288.44/9,858.92
  6. Step 6: Final answer
    x = 11,009.25

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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.