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Finding the Fourth Proportional to 9,513.52, 14,270.52 and 2,588.08

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Solution

The fourth proportional to 9,513.52, 14,270.52 and 2,588.08 is: 3,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.52 : 14,270.52 = 2,588.08 : x
  2. Step 2: Convert to fraction form
    9,513.52/14,270.52 = 2,588.08/x
  3. Step 3: Cross multiply
    9,513.52x = 14,270.52 × 2,588.08
  4. Step 4: Simplify right side
    9,513.52x = 36,933,247.40
  5. Step 5: Solve for x
    x = 36,933,247.40/9,513.52
  6. Step 6: Final answer
    x = 3,882.19

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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.