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Finding the Fourth Proportional to 9,969.26, 13,758.18 and 5,493

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Solution

The fourth proportional to 9,969.26, 13,758.18 and 5,493 is: 7,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.26 : 13,758.18 = 5,493 : x
  2. Step 2: Convert to fraction form
    9,969.26/13,758.18 = 5,493/x
  3. Step 3: Cross multiply
    9,969.26x = 13,758.18 × 5,493
  4. Step 4: Simplify right side
    9,969.26x = 75,573,682.74
  5. Step 5: Solve for x
    x = 75,573,682.74/9,969.26
  6. Step 6: Final answer
    x = 7,580.67

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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.