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Finding the Fourth Proportional to 8,929.74, 12,322.83 and 5,203.50

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Solution

The fourth proportional to 8,929.74, 12,322.83 and 5,203.50 is: 7,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.74 : 12,322.83 = 5,203.50 : x
  2. Step 2: Convert to fraction form
    8,929.74/12,322.83 = 5,203.50/x
  3. Step 3: Cross multiply
    8,929.74x = 12,322.83 × 5,203.50
  4. Step 4: Simplify right side
    8,929.74x = 64,121,845.91
  5. Step 5: Solve for x
    x = 64,121,845.91/8,929.74
  6. Step 6: Final answer
    x = 7,180.71

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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.