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Finding the Fourth Proportional to 9,062.91, 12,506.94 and 5,477.38

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Solution

The fourth proportional to 9,062.91, 12,506.94 and 5,477.38 is: 7,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.91 : 12,506.94 = 5,477.38 : x
  2. Step 2: Convert to fraction form
    9,062.91/12,506.94 = 5,477.38/x
  3. Step 3: Cross multiply
    9,062.91x = 12,506.94 × 5,477.38
  4. Step 4: Simplify right side
    9,062.91x = 68,505,231.75
  5. Step 5: Solve for x
    x = 68,505,231.75/9,062.91
  6. Step 6: Final answer
    x = 7,558.86

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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.