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Finding the Fourth Proportional to 9,795, 14,695.02 and 4,247.06

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Solution

The fourth proportional to 9,795, 14,695.02 and 4,247.06 is: 6,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795 : 14,695.02 = 4,247.06 : x
  2. Step 2: Convert to fraction form
    9,795/14,695.02 = 4,247.06/x
  3. Step 3: Cross multiply
    9,795x = 14,695.02 × 4,247.06
  4. Step 4: Simplify right side
    9,795x = 62,410,631.64
  5. Step 5: Solve for x
    x = 62,410,631.64/9,795
  6. Step 6: Final answer
    x = 6,371.68

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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.