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Finding the Fourth Proportional to 9,771.20, 13,490.38 and 7,528.82

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Solution

The fourth proportional to 9,771.20, 13,490.38 and 7,528.82 is: 10,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.20 : 13,490.38 = 7,528.82 : x
  2. Step 2: Convert to fraction form
    9,771.20/13,490.38 = 7,528.82/x
  3. Step 3: Cross multiply
    9,771.20x = 13,490.38 × 7,528.82
  4. Step 4: Simplify right side
    9,771.20x = 101,566,642.75
  5. Step 5: Solve for x
    x = 101,566,642.75/9,771.20
  6. Step 6: Final answer
    x = 10,394.49

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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.