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Finding the Fourth Proportional to 9,789.96, 13,510.62 and 5,539.44

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Solution

The fourth proportional to 9,789.96, 13,510.62 and 5,539.44 is: 7,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.96 : 13,510.62 = 5,539.44 : x
  2. Step 2: Convert to fraction form
    9,789.96/13,510.62 = 5,539.44/x
  3. Step 3: Cross multiply
    9,789.96x = 13,510.62 × 5,539.44
  4. Step 4: Simplify right side
    9,789.96x = 74,841,268.85
  5. Step 5: Solve for x
    x = 74,841,268.85/9,789.96
  6. Step 6: Final answer
    x = 7,644.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.