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Finding the Fourth Proportional to 6,117.40, 9,167.73 and 4,466.22

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Solution

The fourth proportional to 6,117.40, 9,167.73 and 4,466.22 is: 6,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.40 : 9,167.73 = 4,466.22 : x
  2. Step 2: Convert to fraction form
    6,117.40/9,167.73 = 4,466.22/x
  3. Step 3: Cross multiply
    6,117.40x = 9,167.73 × 4,466.22
  4. Step 4: Simplify right side
    6,117.40x = 40,945,099.08
  5. Step 5: Solve for x
    x = 40,945,099.08/6,117.40
  6. Step 6: Final answer
    x = 6,693.22

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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.