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Finding the Fourth Proportional to 9,829.97, 13,564.67 and 5,353.66

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Solution

The fourth proportional to 9,829.97, 13,564.67 and 5,353.66 is: 7,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.97 : 13,564.67 = 5,353.66 : x
  2. Step 2: Convert to fraction form
    9,829.97/13,564.67 = 5,353.66/x
  3. Step 3: Cross multiply
    9,829.97x = 13,564.67 × 5,353.66
  4. Step 4: Simplify right side
    9,829.97x = 72,620,621.38
  5. Step 5: Solve for x
    x = 72,620,621.38/9,829.97
  6. Step 6: Final answer
    x = 7,387.67

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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.