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Finding the Fourth Proportional to 9,825.65, 13,558.95 and 5,349.29

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Solution

The fourth proportional to 9,825.65, 13,558.95 and 5,349.29 is: 7,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.65 : 13,558.95 = 5,349.29 : x
  2. Step 2: Convert to fraction form
    9,825.65/13,558.95 = 5,349.29/x
  3. Step 3: Cross multiply
    9,825.65x = 13,558.95 × 5,349.29
  4. Step 4: Simplify right side
    9,825.65x = 72,530,755.65
  5. Step 5: Solve for x
    x = 72,530,755.65/9,825.65
  6. Step 6: Final answer
    x = 7,381.78

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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.