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Finding the Fourth Proportional to 9,935.76, 13,711.20 and 5,459.68

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Solution

The fourth proportional to 9,935.76, 13,711.20 and 5,459.68 is: 7,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.76 : 13,711.20 = 5,459.68 : x
  2. Step 2: Convert to fraction form
    9,935.76/13,711.20 = 5,459.68/x
  3. Step 3: Cross multiply
    9,935.76x = 13,711.20 × 5,459.68
  4. Step 4: Simplify right side
    9,935.76x = 74,858,764.42
  5. Step 5: Solve for x
    x = 74,858,764.42/9,935.76
  6. Step 6: Final answer
    x = 7,534.28

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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.