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Finding the Fourth Proportional to 9,452.25, 14,151.71 and 4,999.83

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Solution

The fourth proportional to 9,452.25, 14,151.71 and 4,999.83 is: 7,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.25 : 14,151.71 = 4,999.83 : x
  2. Step 2: Convert to fraction form
    9,452.25/14,151.71 = 4,999.83/x
  3. Step 3: Cross multiply
    9,452.25x = 14,151.71 × 4,999.83
  4. Step 4: Simplify right side
    9,452.25x = 70,756,144.21
  5. Step 5: Solve for x
    x = 70,756,144.21/9,452.25
  6. Step 6: Final answer
    x = 7,485.64

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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.