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Finding the Fourth Proportional to 9,767.61, 13,479.17 and 5,937.93

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Solution

The fourth proportional to 9,767.61, 13,479.17 and 5,937.93 is: 8,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.61 : 13,479.17 = 5,937.93 : x
  2. Step 2: Convert to fraction form
    9,767.61/13,479.17 = 5,937.93/x
  3. Step 3: Cross multiply
    9,767.61x = 13,479.17 × 5,937.93
  4. Step 4: Simplify right side
    9,767.61x = 80,038,338.23
  5. Step 5: Solve for x
    x = 80,038,338.23/9,767.61
  6. Step 6: Final answer
    x = 8,194.26

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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.