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Finding the Fourth Proportional to 9,566.52, 14,349.76 and 2,641

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Solution

The fourth proportional to 9,566.52, 14,349.76 and 2,641 is: 3,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.52 : 14,349.76 = 2,641 : x
  2. Step 2: Convert to fraction form
    9,566.52/14,349.76 = 2,641/x
  3. Step 3: Cross multiply
    9,566.52x = 14,349.76 × 2,641
  4. Step 4: Simplify right side
    9,566.52x = 37,897,716.16
  5. Step 5: Solve for x
    x = 37,897,716.16/9,566.52
  6. Step 6: Final answer
    x = 3,961.49

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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.