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Finding the Fourth Proportional to 9,657.24, 13,327.18 and 6,302.20

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Solution

The fourth proportional to 9,657.24, 13,327.18 and 6,302.20 is: 8,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.24 : 13,327.18 = 6,302.20 : x
  2. Step 2: Convert to fraction form
    9,657.24/13,327.18 = 6,302.20/x
  3. Step 3: Cross multiply
    9,657.24x = 13,327.18 × 6,302.20
  4. Step 4: Simplify right side
    9,657.24x = 83,990,553.80
  5. Step 5: Solve for x
    x = 83,990,553.80/9,657.24
  6. Step 6: Final answer
    x = 8,697.16

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