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Finding the Fourth Proportional to 9,822.57, 13,539.41 and 6,634.87

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Solution

The fourth proportional to 9,822.57, 13,539.41 and 6,634.87 is: 9,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.57 : 13,539.41 = 6,634.87 : x
  2. Step 2: Convert to fraction form
    9,822.57/13,539.41 = 6,634.87/x
  3. Step 3: Cross multiply
    9,822.57x = 13,539.41 × 6,634.87
  4. Step 4: Simplify right side
    9,822.57x = 89,832,225.23
  5. Step 5: Solve for x
    x = 89,832,225.23/9,822.57
  6. Step 6: Final answer
    x = 9,145.49

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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.