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Finding the Fourth Proportional to 9,468.25, 13,066.23 and 5,491.72

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Solution

The fourth proportional to 9,468.25, 13,066.23 and 5,491.72 is: 7,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.25 : 13,066.23 = 5,491.72 : x
  2. Step 2: Convert to fraction form
    9,468.25/13,066.23 = 5,491.72/x
  3. Step 3: Cross multiply
    9,468.25x = 13,066.23 × 5,491.72
  4. Step 4: Simplify right side
    9,468.25x = 71,756,076.62
  5. Step 5: Solve for x
    x = 71,756,076.62/9,468.25
  6. Step 6: Final answer
    x = 7,578.60

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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.