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Finding the Fourth Proportional to 9,522.67, 13,141.05 and 5,273.46

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Solution

The fourth proportional to 9,522.67, 13,141.05 and 5,273.46 is: 7,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.67 : 13,141.05 = 5,273.46 : x
  2. Step 2: Convert to fraction form
    9,522.67/13,141.05 = 5,273.46/x
  3. Step 3: Cross multiply
    9,522.67x = 13,141.05 × 5,273.46
  4. Step 4: Simplify right side
    9,522.67x = 69,298,811.42
  5. Step 5: Solve for x
    x = 69,298,811.42/9,522.67
  6. Step 6: Final answer
    x = 7,277.25

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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.