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Finding the Fourth Proportional to 9,016.96, 13,526.88 and 3,822.88

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Solution

The fourth proportional to 9,016.96, 13,526.88 and 3,822.88 is: 5,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.96 : 13,526.88 = 3,822.88 : x
  2. Step 2: Convert to fraction form
    9,016.96/13,526.88 = 3,822.88/x
  3. Step 3: Cross multiply
    9,016.96x = 13,526.88 × 3,822.88
  4. Step 4: Simplify right side
    9,016.96x = 51,711,639.01
  5. Step 5: Solve for x
    x = 51,711,639.01/9,016.96
  6. Step 6: Final answer
    x = 5,734.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.