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Finding the Fourth Proportional to 9,772.12, 13,484.72 and 5,523.54

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Solution

The fourth proportional to 9,772.12, 13,484.72 and 5,523.54 is: 7,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.12 : 13,484.72 = 5,523.54 : x
  2. Step 2: Convert to fraction form
    9,772.12/13,484.72 = 5,523.54/x
  3. Step 3: Cross multiply
    9,772.12x = 13,484.72 × 5,523.54
  4. Step 4: Simplify right side
    9,772.12x = 74,483,390.31
  5. Step 5: Solve for x
    x = 74,483,390.31/9,772.12
  6. Step 6: Final answer
    x = 7,622.03

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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.