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Finding the Fourth Proportional to 9,300.56, 13,949.56 and 3,456.36

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Solution

The fourth proportional to 9,300.56, 13,949.56 and 3,456.36 is: 5,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.56 : 13,949.56 = 3,456.36 : x
  2. Step 2: Convert to fraction form
    9,300.56/13,949.56 = 3,456.36/x
  3. Step 3: Cross multiply
    9,300.56x = 13,949.56 × 3,456.36
  4. Step 4: Simplify right side
    9,300.56x = 48,214,701.20
  5. Step 5: Solve for x
    x = 48,214,701.20/9,300.56
  6. Step 6: Final answer
    x = 5,184.06

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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.