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Finding the Fourth Proportional to 9,797.95, 13,521.64 and 6,021.27

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Solution

The fourth proportional to 9,797.95, 13,521.64 and 6,021.27 is: 8,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.95 : 13,521.64 = 6,021.27 : x
  2. Step 2: Convert to fraction form
    9,797.95/13,521.64 = 6,021.27/x
  3. Step 3: Cross multiply
    9,797.95x = 13,521.64 × 6,021.27
  4. Step 4: Simplify right side
    9,797.95x = 81,417,445.28
  5. Step 5: Solve for x
    x = 81,417,445.28/9,797.95
  6. Step 6: Final answer
    x = 8,309.64

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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.