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Finding the Fourth Proportional to 6,174.21, 9,261.42 and 4,328.22

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Solution

The fourth proportional to 6,174.21, 9,261.42 and 4,328.22 is: 6,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.21 : 9,261.42 = 4,328.22 : x
  2. Step 2: Convert to fraction form
    6,174.21/9,261.42 = 4,328.22/x
  3. Step 3: Cross multiply
    6,174.21x = 9,261.42 × 4,328.22
  4. Step 4: Simplify right side
    6,174.21x = 40,085,463.27
  5. Step 5: Solve for x
    x = 40,085,463.27/6,174.21
  6. Step 6: Final answer
    x = 6,492.40

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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.