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Finding the Fourth Proportional to 9,967.73, 14,926.07 and 5,564.57

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Solution

The fourth proportional to 9,967.73, 14,926.07 and 5,564.57 is: 8,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.73 : 14,926.07 = 5,564.57 : x
  2. Step 2: Convert to fraction form
    9,967.73/14,926.07 = 5,564.57/x
  3. Step 3: Cross multiply
    9,967.73x = 14,926.07 × 5,564.57
  4. Step 4: Simplify right side
    9,967.73x = 83,057,100.62
  5. Step 5: Solve for x
    x = 83,057,100.62/9,967.73
  6. Step 6: Final answer
    x = 8,332.60

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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.