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Finding the Fourth Proportional to 9,771.11, 13,484.56 and 5,521.83

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Solution

The fourth proportional to 9,771.11, 13,484.56 and 5,521.83 is: 7,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.11 : 13,484.56 = 5,521.83 : x
  2. Step 2: Convert to fraction form
    9,771.11/13,484.56 = 5,521.83/x
  3. Step 3: Cross multiply
    9,771.11x = 13,484.56 × 5,521.83
  4. Step 4: Simplify right side
    9,771.11x = 74,459,512.04
  5. Step 5: Solve for x
    x = 74,459,512.04/9,771.11
  6. Step 6: Final answer
    x = 7,620.38

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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.