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Finding the Fourth Proportional to 7,200.32, 9,935.88 and 4,215.76

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Solution

The fourth proportional to 7,200.32, 9,935.88 and 4,215.76 is: 5,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.32 : 9,935.88 = 4,215.76 : x
  2. Step 2: Convert to fraction form
    7,200.32/9,935.88 = 4,215.76/x
  3. Step 3: Cross multiply
    7,200.32x = 9,935.88 × 4,215.76
  4. Step 4: Simplify right side
    7,200.32x = 41,887,285.47
  5. Step 5: Solve for x
    x = 41,887,285.47/7,200.32
  6. Step 6: Final answer
    x = 5,817.42

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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.