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Finding the Fourth Proportional to 6,922.64, 9,536.52 and 5,924.72

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Solution

The fourth proportional to 6,922.64, 9,536.52 and 5,924.72 is: 8,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.64 : 9,536.52 = 5,924.72 : x
  2. Step 2: Convert to fraction form
    6,922.64/9,536.52 = 5,924.72/x
  3. Step 3: Cross multiply
    6,922.64x = 9,536.52 × 5,924.72
  4. Step 4: Simplify right side
    6,922.64x = 56,501,210.77
  5. Step 5: Solve for x
    x = 56,501,210.77/6,922.64
  6. Step 6: Final answer
    x = 8,161.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.