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Finding the Fourth Proportional to 9,434.93, 13,018.24 and 5,657.09

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Solution

The fourth proportional to 9,434.93, 13,018.24 and 5,657.09 is: 7,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.93 : 13,018.24 = 5,657.09 : x
  2. Step 2: Convert to fraction form
    9,434.93/13,018.24 = 5,657.09/x
  3. Step 3: Cross multiply
    9,434.93x = 13,018.24 × 5,657.09
  4. Step 4: Simplify right side
    9,434.93x = 73,645,355.32
  5. Step 5: Solve for x
    x = 73,645,355.32/9,434.93
  6. Step 6: Final answer
    x = 7,805.61

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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.