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Finding the Fourth Proportional to 9,005.50, 12,427.76 and 5,230.76

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Solution

The fourth proportional to 9,005.50, 12,427.76 and 5,230.76 is: 7,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.50 : 12,427.76 = 5,230.76 : x
  2. Step 2: Convert to fraction form
    9,005.50/12,427.76 = 5,230.76/x
  3. Step 3: Cross multiply
    9,005.50x = 12,427.76 × 5,230.76
  4. Step 4: Simplify right side
    9,005.50x = 65,006,629.90
  5. Step 5: Solve for x
    x = 65,006,629.90/9,005.50
  6. Step 6: Final answer
    x = 7,218.55

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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.