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Finding the Fourth Proportional to 9,797.99, 13,521.50 and 5,765.07

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Solution

The fourth proportional to 9,797.99, 13,521.50 and 5,765.07 is: 7,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.99 : 13,521.50 = 5,765.07 : x
  2. Step 2: Convert to fraction form
    9,797.99/13,521.50 = 5,765.07/x
  3. Step 3: Cross multiply
    9,797.99x = 13,521.50 × 5,765.07
  4. Step 4: Simplify right side
    9,797.99x = 77,952,365.18
  5. Step 5: Solve for x
    x = 77,952,365.18/9,797.99
  6. Step 6: Final answer
    x = 7,955.96

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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.