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Finding the Fourth Proportional to 9,627.58, 14,437.72 and 3,781

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Solution

The fourth proportional to 9,627.58, 14,437.72 and 3,781 is: 5,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.58 : 14,437.72 = 3,781 : x
  2. Step 2: Convert to fraction form
    9,627.58/14,437.72 = 3,781/x
  3. Step 3: Cross multiply
    9,627.58x = 14,437.72 × 3,781
  4. Step 4: Simplify right side
    9,627.58x = 54,589,019.32
  5. Step 5: Solve for x
    x = 54,589,019.32/9,627.58
  6. Step 6: Final answer
    x = 5,670.07

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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.