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Finding the Fourth Proportional to 9,635.77, 14,444.23 and 4,958.02

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Solution

The fourth proportional to 9,635.77, 14,444.23 and 4,958.02 is: 7,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.77 : 14,444.23 = 4,958.02 : x
  2. Step 2: Convert to fraction form
    9,635.77/14,444.23 = 4,958.02/x
  3. Step 3: Cross multiply
    9,635.77x = 14,444.23 × 4,958.02
  4. Step 4: Simplify right side
    9,635.77x = 71,614,781.22
  5. Step 5: Solve for x
    x = 71,614,781.22/9,635.77
  6. Step 6: Final answer
    x = 7,432.18

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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.