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Finding the Fourth Proportional to 9,299.88, 12,834.45 and 5,322.24

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Solution

The fourth proportional to 9,299.88, 12,834.45 and 5,322.24 is: 7,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.88 : 12,834.45 = 5,322.24 : x
  2. Step 2: Convert to fraction form
    9,299.88/12,834.45 = 5,322.24/x
  3. Step 3: Cross multiply
    9,299.88x = 12,834.45 × 5,322.24
  4. Step 4: Simplify right side
    9,299.88x = 68,308,023.17
  5. Step 5: Solve for x
    x = 68,308,023.17/9,299.88
  6. Step 6: Final answer
    x = 7,345.04

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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.