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Finding the Fourth Proportional to 9,836.46, 14,759.05 and 5,155.36

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Solution

The fourth proportional to 9,836.46, 14,759.05 and 5,155.36 is: 7,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.46 : 14,759.05 = 5,155.36 : x
  2. Step 2: Convert to fraction form
    9,836.46/14,759.05 = 5,155.36/x
  3. Step 3: Cross multiply
    9,836.46x = 14,759.05 × 5,155.36
  4. Step 4: Simplify right side
    9,836.46x = 76,088,216.01
  5. Step 5: Solve for x
    x = 76,088,216.01/9,836.46
  6. Step 6: Final answer
    x = 7,735.33

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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.