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Finding the Fourth Proportional to 9,822.95, 13,539.92 and 6,635.24

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Solution

The fourth proportional to 9,822.95, 13,539.92 and 6,635.24 is: 9,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.95 : 13,539.92 = 6,635.24 : x
  2. Step 2: Convert to fraction form
    9,822.95/13,539.92 = 6,635.24/x
  3. Step 3: Cross multiply
    9,822.95x = 13,539.92 × 6,635.24
  4. Step 4: Simplify right side
    9,822.95x = 89,840,618.78
  5. Step 5: Solve for x
    x = 89,840,618.78/9,822.95
  6. Step 6: Final answer
    x = 9,145.99

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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.