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Finding the Fourth Proportional to 9,789.95, 13,509.93 and 5,540.84

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Solution

The fourth proportional to 9,789.95, 13,509.93 and 5,540.84 is: 7,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.95 : 13,509.93 = 5,540.84 : x
  2. Step 2: Convert to fraction form
    9,789.95/13,509.93 = 5,540.84/x
  3. Step 3: Cross multiply
    9,789.95x = 13,509.93 × 5,540.84
  4. Step 4: Simplify right side
    9,789.95x = 74,856,292.99
  5. Step 5: Solve for x
    x = 74,856,292.99/9,789.95
  6. Step 6: Final answer
    x = 7,646.24

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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.