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Finding the Fourth Proportional to 9,754.54, 14,631.74 and 3,911.06

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Solution

The fourth proportional to 9,754.54, 14,631.74 and 3,911.06 is: 5,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.54 : 14,631.74 = 3,911.06 : x
  2. Step 2: Convert to fraction form
    9,754.54/14,631.74 = 3,911.06/x
  3. Step 3: Cross multiply
    9,754.54x = 14,631.74 × 3,911.06
  4. Step 4: Simplify right side
    9,754.54x = 57,225,613.04
  5. Step 5: Solve for x
    x = 57,225,613.04/9,754.54
  6. Step 6: Final answer
    x = 5,866.56

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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.