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Finding the Fourth Proportional to 9,290.48, 12,820.95 and 5,311.53

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Solution

The fourth proportional to 9,290.48, 12,820.95 and 5,311.53 is: 7,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.48 : 12,820.95 = 5,311.53 : x
  2. Step 2: Convert to fraction form
    9,290.48/12,820.95 = 5,311.53/x
  3. Step 3: Cross multiply
    9,290.48x = 12,820.95 × 5,311.53
  4. Step 4: Simplify right side
    9,290.48x = 68,098,860.55
  5. Step 5: Solve for x
    x = 68,098,860.55/9,290.48
  6. Step 6: Final answer
    x = 7,329.97

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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.