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Finding the Fourth Proportional to 9,838.97, 13,578.89 and 6,061.40

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Solution

The fourth proportional to 9,838.97, 13,578.89 and 6,061.40 is: 8,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.97 : 13,578.89 = 6,061.40 : x
  2. Step 2: Convert to fraction form
    9,838.97/13,578.89 = 6,061.40/x
  3. Step 3: Cross multiply
    9,838.97x = 13,578.89 × 6,061.40
  4. Step 4: Simplify right side
    9,838.97x = 82,306,985.64
  5. Step 5: Solve for x
    x = 82,306,985.64/9,838.97
  6. Step 6: Final answer
    x = 8,365.41

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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.