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Finding the Fourth Proportional to 9,199.83, 12,697.42 and 5,422.77

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Solution

The fourth proportional to 9,199.83, 12,697.42 and 5,422.77 is: 7,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.83 : 12,697.42 = 5,422.77 : x
  2. Step 2: Convert to fraction form
    9,199.83/12,697.42 = 5,422.77/x
  3. Step 3: Cross multiply
    9,199.83x = 12,697.42 × 5,422.77
  4. Step 4: Simplify right side
    9,199.83x = 68,855,184.86
  5. Step 5: Solve for x
    x = 68,855,184.86/9,199.83
  6. Step 6: Final answer
    x = 7,484.40

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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.