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Finding the Fourth Proportional to 9,739.44, 14,607 and 5,844.96

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Solution

The fourth proportional to 9,739.44, 14,607 and 5,844.96 is: 8,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.44 : 14,607 = 5,844.96 : x
  2. Step 2: Convert to fraction form
    9,739.44/14,607 = 5,844.96/x
  3. Step 3: Cross multiply
    9,739.44x = 14,607 × 5,844.96
  4. Step 4: Simplify right side
    9,739.44x = 85,377,330.72
  5. Step 5: Solve for x
    x = 85,377,330.72/9,739.44
  6. Step 6: Final answer
    x = 8,766.14

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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.