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Finding the Fourth Proportional to 9,741.56, 14,619.88 and 3,902

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Solution

The fourth proportional to 9,741.56, 14,619.88 and 3,902 is: 5,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.56 : 14,619.88 = 3,902 : x
  2. Step 2: Convert to fraction form
    9,741.56/14,619.88 = 3,902/x
  3. Step 3: Cross multiply
    9,741.56x = 14,619.88 × 3,902
  4. Step 4: Simplify right side
    9,741.56x = 57,046,771.76
  5. Step 5: Solve for x
    x = 57,046,771.76/9,741.56
  6. Step 6: Final answer
    x = 5,856.02

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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.