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Finding the Fourth Proportional to 9,912.54, 14,865.69 and 3,247.50

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Solution

The fourth proportional to 9,912.54, 14,865.69 and 3,247.50 is: 4,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.54 : 14,865.69 = 3,247.50 : x
  2. Step 2: Convert to fraction form
    9,912.54/14,865.69 = 3,247.50/x
  3. Step 3: Cross multiply
    9,912.54x = 14,865.69 × 3,247.50
  4. Step 4: Simplify right side
    9,912.54x = 48,276,328.28
  5. Step 5: Solve for x
    x = 48,276,328.28/9,912.54
  6. Step 6: Final answer
    x = 4,870.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.