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Finding the Fourth Proportional to 9,841.86, 13,578.51 and 5,592.42

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Solution

The fourth proportional to 9,841.86, 13,578.51 and 5,592.42 is: 7,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.86 : 13,578.51 = 5,592.42 : x
  2. Step 2: Convert to fraction form
    9,841.86/13,578.51 = 5,592.42/x
  3. Step 3: Cross multiply
    9,841.86x = 13,578.51 × 5,592.42
  4. Step 4: Simplify right side
    9,841.86x = 75,936,730.89
  5. Step 5: Solve for x
    x = 75,936,730.89/9,841.86
  6. Step 6: Final answer
    x = 7,715.69

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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.