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Finding the Fourth Proportional to 9,568.29, 14,349.83 and 6,053.02

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Solution

The fourth proportional to 9,568.29, 14,349.83 and 6,053.02 is: 9,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.29 : 14,349.83 = 6,053.02 : x
  2. Step 2: Convert to fraction form
    9,568.29/14,349.83 = 6,053.02/x
  3. Step 3: Cross multiply
    9,568.29x = 14,349.83 × 6,053.02
  4. Step 4: Simplify right side
    9,568.29x = 86,859,705.97
  5. Step 5: Solve for x
    x = 86,859,705.97/9,568.29
  6. Step 6: Final answer
    x = 9,077.88

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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.