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Finding the Fourth Proportional to 9,769.57, 14,654.15 and 2,374.07

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Solution

The fourth proportional to 9,769.57, 14,654.15 and 2,374.07 is: 3,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.57 : 14,654.15 = 2,374.07 : x
  2. Step 2: Convert to fraction form
    9,769.57/14,654.15 = 2,374.07/x
  3. Step 3: Cross multiply
    9,769.57x = 14,654.15 × 2,374.07
  4. Step 4: Simplify right side
    9,769.57x = 34,789,901.65
  5. Step 5: Solve for x
    x = 34,789,901.65/9,769.57
  6. Step 6: Final answer
    x = 3,561.05

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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.