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Finding the Fourth Proportional to 6,302.48, 9,445.92 and 5,523.98

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Solution

The fourth proportional to 6,302.48, 9,445.92 and 5,523.98 is: 8,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.48 : 9,445.92 = 5,523.98 : x
  2. Step 2: Convert to fraction form
    6,302.48/9,445.92 = 5,523.98/x
  3. Step 3: Cross multiply
    6,302.48x = 9,445.92 × 5,523.98
  4. Step 4: Simplify right side
    6,302.48x = 52,179,058.35
  5. Step 5: Solve for x
    x = 52,179,058.35/6,302.48
  6. Step 6: Final answer
    x = 8,279.14

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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.