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Finding the Fourth Proportional to 9,500.45, 14,252.00 and 2,927.16

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Solution

The fourth proportional to 9,500.45, 14,252.00 and 2,927.16 is: 4,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.45 : 14,252.00 = 2,927.16 : x
  2. Step 2: Convert to fraction form
    9,500.45/14,252.00 = 2,927.16/x
  3. Step 3: Cross multiply
    9,500.45x = 14,252.00 × 2,927.16
  4. Step 4: Simplify right side
    9,500.45x = 41,717,869.68
  5. Step 5: Solve for x
    x = 41,717,869.68/9,500.45
  6. Step 6: Final answer
    x = 4,391.15

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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.