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Finding the Fourth Proportional to 9,594.32, 13,222.44 and 6,937.11

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Solution

The fourth proportional to 9,594.32, 13,222.44 and 6,937.11 is: 9,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.32 : 13,222.44 = 6,937.11 : x
  2. Step 2: Convert to fraction form
    9,594.32/13,222.44 = 6,937.11/x
  3. Step 3: Cross multiply
    9,594.32x = 13,222.44 × 6,937.11
  4. Step 4: Simplify right side
    9,594.32x = 91,725,520.75
  5. Step 5: Solve for x
    x = 91,725,520.75/9,594.32
  6. Step 6: Final answer
    x = 9,560.40

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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.