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Finding the Fourth Proportional to 9,657.58, 14,487.42 and 3,082.24

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Solution

The fourth proportional to 9,657.58, 14,487.42 and 3,082.24 is: 4,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.58 : 14,487.42 = 3,082.24 : x
  2. Step 2: Convert to fraction form
    9,657.58/14,487.42 = 3,082.24/x
  3. Step 3: Cross multiply
    9,657.58x = 14,487.42 × 3,082.24
  4. Step 4: Simplify right side
    9,657.58x = 44,653,705.42
  5. Step 5: Solve for x
    x = 44,653,705.42/9,657.58
  6. Step 6: Final answer
    x = 4,623.70

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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.