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Finding the Fourth Proportional to 7,215.71, 9,957.71 and 4,231.60

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Solution

The fourth proportional to 7,215.71, 9,957.71 and 4,231.60 is: 5,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.71 : 9,957.71 = 4,231.60 : x
  2. Step 2: Convert to fraction form
    7,215.71/9,957.71 = 4,231.60/x
  3. Step 3: Cross multiply
    7,215.71x = 9,957.71 × 4,231.60
  4. Step 4: Simplify right side
    7,215.71x = 42,137,031.32
  5. Step 5: Solve for x
    x = 42,137,031.32/7,215.71
  6. Step 6: Final answer
    x = 5,839.63

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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.