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Finding the Fourth Proportional to 9,936.32, 13,709.76 and 5,957.76

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Solution

The fourth proportional to 9,936.32, 13,709.76 and 5,957.76 is: 8,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.32 : 13,709.76 = 5,957.76 : x
  2. Step 2: Convert to fraction form
    9,936.32/13,709.76 = 5,957.76/x
  3. Step 3: Cross multiply
    9,936.32x = 13,709.76 × 5,957.76
  4. Step 4: Simplify right side
    9,936.32x = 81,679,459.74
  5. Step 5: Solve for x
    x = 81,679,459.74/9,936.32
  6. Step 6: Final answer
    x = 8,220.29

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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.