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Finding the Fourth Proportional to 9,569.13, 13,196.89 and 6,208.74

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Solution

The fourth proportional to 9,569.13, 13,196.89 and 6,208.74 is: 8,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.13 : 13,196.89 = 6,208.74 : x
  2. Step 2: Convert to fraction form
    9,569.13/13,196.89 = 6,208.74/x
  3. Step 3: Cross multiply
    9,569.13x = 13,196.89 × 6,208.74
  4. Step 4: Simplify right side
    9,569.13x = 81,936,058.82
  5. Step 5: Solve for x
    x = 81,936,058.82/9,569.13
  6. Step 6: Final answer
    x = 8,562.54

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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.