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Finding the Fourth Proportional to 9,773.33, 14,656.34 and 3,927.96

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Solution

The fourth proportional to 9,773.33, 14,656.34 and 3,927.96 is: 5,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.33 : 14,656.34 = 3,927.96 : x
  2. Step 2: Convert to fraction form
    9,773.33/14,656.34 = 3,927.96/x
  3. Step 3: Cross multiply
    9,773.33x = 14,656.34 × 3,927.96
  4. Step 4: Simplify right side
    9,773.33x = 57,569,527.09
  5. Step 5: Solve for x
    x = 57,569,527.09/9,773.33
  6. Step 6: Final answer
    x = 5,890.48

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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.