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Finding the Fourth Proportional to 9,758.27, 14,637.45 and 2,362.72

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Solution

The fourth proportional to 9,758.27, 14,637.45 and 2,362.72 is: 3,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.27 : 14,637.45 = 2,362.72 : x
  2. Step 2: Convert to fraction form
    9,758.27/14,637.45 = 2,362.72/x
  3. Step 3: Cross multiply
    9,758.27x = 14,637.45 × 2,362.72
  4. Step 4: Simplify right side
    9,758.27x = 34,584,184.05
  5. Step 5: Solve for x
    x = 34,584,184.05/9,758.27
  6. Step 6: Final answer
    x = 3,544.09

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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.