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Finding the Fourth Proportional to 10,065.76, 13,892.34 and 9,622.84

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Solution

The fourth proportional to 10,065.76, 13,892.34 and 9,622.84 is: 13,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.76 : 13,892.34 = 9,622.84 : x
  2. Step 2: Convert to fraction form
    10,065.76/13,892.34 = 9,622.84/x
  3. Step 3: Cross multiply
    10,065.76x = 13,892.34 × 9,622.84
  4. Step 4: Simplify right side
    10,065.76x = 133,683,765.05
  5. Step 5: Solve for x
    x = 133,683,765.05/10,065.76
  6. Step 6: Final answer
    x = 13,281.04

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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.