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Finding the Fourth Proportional to 7,213.91, 9,957.69 and 4,230.77

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Solution

The fourth proportional to 7,213.91, 9,957.69 and 4,230.77 is: 5,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.91 : 9,957.69 = 4,230.77 : x
  2. Step 2: Convert to fraction form
    7,213.91/9,957.69 = 4,230.77/x
  3. Step 3: Cross multiply
    7,213.91x = 9,957.69 × 4,230.77
  4. Step 4: Simplify right side
    7,213.91x = 42,128,646.33
  5. Step 5: Solve for x
    x = 42,128,646.33/7,213.91
  6. Step 6: Final answer
    x = 5,839.92

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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.