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Finding the Fourth Proportional to 9,561.52, 13,196 and 6,024.64

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Solution

The fourth proportional to 9,561.52, 13,196 and 6,024.64 is: 8,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.52 : 13,196 = 6,024.64 : x
  2. Step 2: Convert to fraction form
    9,561.52/13,196 = 6,024.64/x
  3. Step 3: Cross multiply
    9,561.52x = 13,196 × 6,024.64
  4. Step 4: Simplify right side
    9,561.52x = 79,501,149.44
  5. Step 5: Solve for x
    x = 79,501,149.44/9,561.52
  6. Step 6: Final answer
    x = 8,314.70

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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.