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Finding the Fourth Proportional to 9,115.80, 12,580.38 and 5,137.26

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Solution

The fourth proportional to 9,115.80, 12,580.38 and 5,137.26 is: 7,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.80 : 12,580.38 = 5,137.26 : x
  2. Step 2: Convert to fraction form
    9,115.80/12,580.38 = 5,137.26/x
  3. Step 3: Cross multiply
    9,115.80x = 12,580.38 × 5,137.26
  4. Step 4: Simplify right side
    9,115.80x = 64,628,682.96
  5. Step 5: Solve for x
    x = 64,628,682.96/9,115.80
  6. Step 6: Final answer
    x = 7,089.74

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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.