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Finding the Fourth Proportional to 9,690.80, 14,543.42 and 3,768.62

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Solution

The fourth proportional to 9,690.80, 14,543.42 and 3,768.62 is: 5,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.80 : 14,543.42 = 3,768.62 : x
  2. Step 2: Convert to fraction form
    9,690.80/14,543.42 = 3,768.62/x
  3. Step 3: Cross multiply
    9,690.80x = 14,543.42 × 3,768.62
  4. Step 4: Simplify right side
    9,690.80x = 54,808,623.48
  5. Step 5: Solve for x
    x = 54,808,623.48/9,690.80
  6. Step 6: Final answer
    x = 5,655.74

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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.