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Finding the Fourth Proportional to 9,247.01, 13,866.24 and 3,695.67

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Solution

The fourth proportional to 9,247.01, 13,866.24 and 3,695.67 is: 5,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.01 : 13,866.24 = 3,695.67 : x
  2. Step 2: Convert to fraction form
    9,247.01/13,866.24 = 3,695.67/x
  3. Step 3: Cross multiply
    9,247.01x = 13,866.24 × 3,695.67
  4. Step 4: Simplify right side
    9,247.01x = 51,245,047.18
  5. Step 5: Solve for x
    x = 51,245,047.18/9,247.01
  6. Step 6: Final answer
    x = 5,541.80

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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.