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Finding the Fourth Proportional to 9,459.99, 14,175.41 and 4,194.18

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Solution

The fourth proportional to 9,459.99, 14,175.41 and 4,194.18 is: 6,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.99 : 14,175.41 = 4,194.18 : x
  2. Step 2: Convert to fraction form
    9,459.99/14,175.41 = 4,194.18/x
  3. Step 3: Cross multiply
    9,459.99x = 14,175.41 × 4,194.18
  4. Step 4: Simplify right side
    9,459.99x = 59,454,200.14
  5. Step 5: Solve for x
    x = 59,454,200.14/9,459.99
  6. Step 6: Final answer
    x = 6,284.81

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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.