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Finding the Fourth Proportional to 9,682.95, 14,524.44 and 5,298.02

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Solution

The fourth proportional to 9,682.95, 14,524.44 and 5,298.02 is: 7,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.95 : 14,524.44 = 5,298.02 : x
  2. Step 2: Convert to fraction form
    9,682.95/14,524.44 = 5,298.02/x
  3. Step 3: Cross multiply
    9,682.95x = 14,524.44 × 5,298.02
  4. Step 4: Simplify right side
    9,682.95x = 76,950,773.61
  5. Step 5: Solve for x
    x = 76,950,773.61/9,682.95
  6. Step 6: Final answer
    x = 7,947.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.