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Finding the Fourth Proportional to 9,935.68, 13,705.53 and 6,203.20

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Solution

The fourth proportional to 9,935.68, 13,705.53 and 6,203.20 is: 8,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.68 : 13,705.53 = 6,203.20 : x
  2. Step 2: Convert to fraction form
    9,935.68/13,705.53 = 6,203.20/x
  3. Step 3: Cross multiply
    9,935.68x = 13,705.53 × 6,203.20
  4. Step 4: Simplify right side
    9,935.68x = 85,018,143.70
  5. Step 5: Solve for x
    x = 85,018,143.70/9,935.68
  6. Step 6: Final answer
    x = 8,556.85

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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.