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Finding the Fourth Proportional to 7,215.12, 9,957.82 and 4,232.12

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Solution

The fourth proportional to 7,215.12, 9,957.82 and 4,232.12 is: 5,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.12 : 9,957.82 = 4,232.12 : x
  2. Step 2: Convert to fraction form
    7,215.12/9,957.82 = 4,232.12/x
  3. Step 3: Cross multiply
    7,215.12x = 9,957.82 × 4,232.12
  4. Step 4: Simplify right side
    7,215.12x = 42,142,689.18
  5. Step 5: Solve for x
    x = 42,142,689.18/7,215.12
  6. Step 6: Final answer
    x = 5,840.89

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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.