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Finding the Fourth Proportional to 9,224.20, 12,746.08 and 6,567

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Solution

The fourth proportional to 9,224.20, 12,746.08 and 6,567 is: 9,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.20 : 12,746.08 = 6,567 : x
  2. Step 2: Convert to fraction form
    9,224.20/12,746.08 = 6,567/x
  3. Step 3: Cross multiply
    9,224.20x = 12,746.08 × 6,567
  4. Step 4: Simplify right side
    9,224.20x = 83,703,507.36
  5. Step 5: Solve for x
    x = 83,703,507.36/9,224.20
  6. Step 6: Final answer
    x = 9,074.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.