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Finding the Fourth Proportional to 6,301.44, 9,433.92 and 4,748.00

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Solution

The fourth proportional to 6,301.44, 9,433.92 and 4,748.00 is: 7,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.44 : 9,433.92 = 4,748.00 : x
  2. Step 2: Convert to fraction form
    6,301.44/9,433.92 = 4,748.00/x
  3. Step 3: Cross multiply
    6,301.44x = 9,433.92 × 4,748.00
  4. Step 4: Simplify right side
    6,301.44x = 44,792,204.99
  5. Step 5: Solve for x
    x = 44,792,204.99/6,301.44
  6. Step 6: Final answer
    x = 7,108.25

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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.