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Finding the Fourth Proportional to 9,221.76, 13,821.12 and 5,926.08

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Solution

The fourth proportional to 9,221.76, 13,821.12 and 5,926.08 is: 8,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.76 : 13,821.12 = 5,926.08 : x
  2. Step 2: Convert to fraction form
    9,221.76/13,821.12 = 5,926.08/x
  3. Step 3: Cross multiply
    9,221.76x = 13,821.12 × 5,926.08
  4. Step 4: Simplify right side
    9,221.76x = 81,905,062.81
  5. Step 5: Solve for x
    x = 81,905,062.81/9,221.76
  6. Step 6: Final answer
    x = 8,881.72

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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.