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Finding the Fourth Proportional to 9,756.24, 14,633.10 and 5,755.92

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Solution

The fourth proportional to 9,756.24, 14,633.10 and 5,755.92 is: 8,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.24 : 14,633.10 = 5,755.92 : x
  2. Step 2: Convert to fraction form
    9,756.24/14,633.10 = 5,755.92/x
  3. Step 3: Cross multiply
    9,756.24x = 14,633.10 × 5,755.92
  4. Step 4: Simplify right side
    9,756.24x = 84,226,952.95
  5. Step 5: Solve for x
    x = 84,226,952.95/9,756.24
  6. Step 6: Final answer
    x = 8,633.14

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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.