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Finding the Fourth Proportional to 9,756.67, 13,464.15 and 5,280.42

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Solution

The fourth proportional to 9,756.67, 13,464.15 and 5,280.42 is: 7,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.67 : 13,464.15 = 5,280.42 : x
  2. Step 2: Convert to fraction form
    9,756.67/13,464.15 = 5,280.42/x
  3. Step 3: Cross multiply
    9,756.67x = 13,464.15 × 5,280.42
  4. Step 4: Simplify right side
    9,756.67x = 71,096,273.22
  5. Step 5: Solve for x
    x = 71,096,273.22/9,756.67
  6. Step 6: Final answer
    x = 7,286.94

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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.