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Finding the Fourth Proportional to 9,280.44, 13,922.10 and 3,123

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Solution

The fourth proportional to 9,280.44, 13,922.10 and 3,123 is: 4,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.44 : 13,922.10 = 3,123 : x
  2. Step 2: Convert to fraction form
    9,280.44/13,922.10 = 3,123/x
  3. Step 3: Cross multiply
    9,280.44x = 13,922.10 × 3,123
  4. Step 4: Simplify right side
    9,280.44x = 43,478,718.30
  5. Step 5: Solve for x
    x = 43,478,718.30/9,280.44
  6. Step 6: Final answer
    x = 4,684.98

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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.