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Finding the Fourth Proportional to 9,376.16, 12,937.93 and 5,791.91

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Solution

The fourth proportional to 9,376.16, 12,937.93 and 5,791.91 is: 7,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.16 : 12,937.93 = 5,791.91 : x
  2. Step 2: Convert to fraction form
    9,376.16/12,937.93 = 5,791.91/x
  3. Step 3: Cross multiply
    9,376.16x = 12,937.93 × 5,791.91
  4. Step 4: Simplify right side
    9,376.16x = 74,935,246.98
  5. Step 5: Solve for x
    x = 74,935,246.98/9,376.16
  6. Step 6: Final answer
    x = 7,992.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.