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Finding the Fourth Proportional to 9,515.01, 14,259.78 and 5,352.96

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Solution

The fourth proportional to 9,515.01, 14,259.78 and 5,352.96 is: 8,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.01 : 14,259.78 = 5,352.96 : x
  2. Step 2: Convert to fraction form
    9,515.01/14,259.78 = 5,352.96/x
  3. Step 3: Cross multiply
    9,515.01x = 14,259.78 × 5,352.96
  4. Step 4: Simplify right side
    9,515.01x = 76,332,031.95
  5. Step 5: Solve for x
    x = 76,332,031.95/9,515.01
  6. Step 6: Final answer
    x = 8,022.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.