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Finding the Fourth Proportional to 9,193.41, 13,784.07 and 6,063.87

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Solution

The fourth proportional to 9,193.41, 13,784.07 and 6,063.87 is: 9,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.41 : 13,784.07 = 6,063.87 : x
  2. Step 2: Convert to fraction form
    9,193.41/13,784.07 = 6,063.87/x
  3. Step 3: Cross multiply
    9,193.41x = 13,784.07 × 6,063.87
  4. Step 4: Simplify right side
    9,193.41x = 83,584,808.55
  5. Step 5: Solve for x
    x = 83,584,808.55/9,193.41
  6. Step 6: Final answer
    x = 9,091.82

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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.