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Finding the Fourth Proportional to 6,171.69, 9,277.59 and 4,952.44

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Solution

The fourth proportional to 6,171.69, 9,277.59 and 4,952.44 is: 7,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.69 : 9,277.59 = 4,952.44 : x
  2. Step 2: Convert to fraction form
    6,171.69/9,277.59 = 4,952.44/x
  3. Step 3: Cross multiply
    6,171.69x = 9,277.59 × 4,952.44
  4. Step 4: Simplify right side
    6,171.69x = 45,946,683.06
  5. Step 5: Solve for x
    x = 45,946,683.06/6,171.69
  6. Step 6: Final answer
    x = 7,444.75

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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.