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Finding the Fourth Proportional to 9,820.94, 13,537.17 and 6,633.24

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Solution

The fourth proportional to 9,820.94, 13,537.17 and 6,633.24 is: 9,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.94 : 13,537.17 = 6,633.24 : x
  2. Step 2: Convert to fraction form
    9,820.94/13,537.17 = 6,633.24/x
  3. Step 3: Cross multiply
    9,820.94x = 13,537.17 × 6,633.24
  4. Step 4: Simplify right side
    9,820.94x = 89,795,264.36
  5. Step 5: Solve for x
    x = 89,795,264.36/9,820.94
  6. Step 6: Final answer
    x = 9,143.24

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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.