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Finding the Fourth Proportional to 9,515.52, 14,273.26 and 2,590

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Solution

The fourth proportional to 9,515.52, 14,273.26 and 2,590 is: 3,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.52 : 14,273.26 = 2,590 : x
  2. Step 2: Convert to fraction form
    9,515.52/14,273.26 = 2,590/x
  3. Step 3: Cross multiply
    9,515.52x = 14,273.26 × 2,590
  4. Step 4: Simplify right side
    9,515.52x = 36,967,743.40
  5. Step 5: Solve for x
    x = 36,967,743.40/9,515.52
  6. Step 6: Final answer
    x = 3,884.99

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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.