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Finding the Fourth Proportional to 9,835.12, 14,723.34 and 5,927.68

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Solution

The fourth proportional to 9,835.12, 14,723.34 and 5,927.68 is: 8,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.12 : 14,723.34 = 5,927.68 : x
  2. Step 2: Convert to fraction form
    9,835.12/14,723.34 = 5,927.68/x
  3. Step 3: Cross multiply
    9,835.12x = 14,723.34 × 5,927.68
  4. Step 4: Simplify right side
    9,835.12x = 87,275,248.05
  5. Step 5: Solve for x
    x = 87,275,248.05/9,835.12
  6. Step 6: Final answer
    x = 8,873.84

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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.