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Finding the Fourth Proportional to 9,518.85, 13,135.77 and 5,542.16

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Solution

The fourth proportional to 9,518.85, 13,135.77 and 5,542.16 is: 7,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.85 : 13,135.77 = 5,542.16 : x
  2. Step 2: Convert to fraction form
    9,518.85/13,135.77 = 5,542.16/x
  3. Step 3: Cross multiply
    9,518.85x = 13,135.77 × 5,542.16
  4. Step 4: Simplify right side
    9,518.85x = 72,800,473.38
  5. Step 5: Solve for x
    x = 72,800,473.38/9,518.85
  6. Step 6: Final answer
    x = 7,648.03

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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.