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Finding the Fourth Proportional to 6,549.72, 9,038.10 and 3,861.16

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Solution

The fourth proportional to 6,549.72, 9,038.10 and 3,861.16 is: 5,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.72 : 9,038.10 = 3,861.16 : x
  2. Step 2: Convert to fraction form
    6,549.72/9,038.10 = 3,861.16/x
  3. Step 3: Cross multiply
    6,549.72x = 9,038.10 × 3,861.16
  4. Step 4: Simplify right side
    6,549.72x = 34,897,550.20
  5. Step 5: Solve for x
    x = 34,897,550.20/6,549.72
  6. Step 6: Final answer
    x = 5,328.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.