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Finding the Fourth Proportional to 9,515.70, 13,131.34 and 5,266.70

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Solution

The fourth proportional to 9,515.70, 13,131.34 and 5,266.70 is: 7,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.70 : 13,131.34 = 5,266.70 : x
  2. Step 2: Convert to fraction form
    9,515.70/13,131.34 = 5,266.70/x
  3. Step 3: Cross multiply
    9,515.70x = 13,131.34 × 5,266.70
  4. Step 4: Simplify right side
    9,515.70x = 69,158,749.55
  5. Step 5: Solve for x
    x = 69,158,749.55/9,515.70
  6. Step 6: Final answer
    x = 7,267.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.