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Finding the Fourth Proportional to 9,798.28, 14,697.34 and 3,225

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Solution

The fourth proportional to 9,798.28, 14,697.34 and 3,225 is: 4,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.28 : 14,697.34 = 3,225 : x
  2. Step 2: Convert to fraction form
    9,798.28/14,697.34 = 3,225/x
  3. Step 3: Cross multiply
    9,798.28x = 14,697.34 × 3,225
  4. Step 4: Simplify right side
    9,798.28x = 47,398,921.50
  5. Step 5: Solve for x
    x = 47,398,921.50/9,798.28
  6. Step 6: Final answer
    x = 4,837.47

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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.