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Finding the Fourth Proportional to 9,902.94, 14,861.90 and 3,666.75

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Solution

The fourth proportional to 9,902.94, 14,861.90 and 3,666.75 is: 5,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.94 : 14,861.90 = 3,666.75 : x
  2. Step 2: Convert to fraction form
    9,902.94/14,861.90 = 3,666.75/x
  3. Step 3: Cross multiply
    9,902.94x = 14,861.90 × 3,666.75
  4. Step 4: Simplify right side
    9,902.94x = 54,494,871.83
  5. Step 5: Solve for x
    x = 54,494,871.83/9,902.94
  6. Step 6: Final answer
    x = 5,502.90

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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.