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Finding the Fourth Proportional to 9,449.81, 14,165.95 and 4,182.02

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Solution

The fourth proportional to 9,449.81, 14,165.95 and 4,182.02 is: 6,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.81 : 14,165.95 = 4,182.02 : x
  2. Step 2: Convert to fraction form
    9,449.81/14,165.95 = 4,182.02/x
  3. Step 3: Cross multiply
    9,449.81x = 14,165.95 × 4,182.02
  4. Step 4: Simplify right side
    9,449.81x = 59,242,286.22
  5. Step 5: Solve for x
    x = 59,242,286.22/9,449.81
  6. Step 6: Final answer
    x = 6,269.15

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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.