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Finding the Fourth Proportional to 9,459.24, 14,168.19 and 7,797.12

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Solution

The fourth proportional to 9,459.24, 14,168.19 and 7,797.12 is: 11,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.24 : 14,168.19 = 7,797.12 : x
  2. Step 2: Convert to fraction form
    9,459.24/14,168.19 = 7,797.12/x
  3. Step 3: Cross multiply
    9,459.24x = 14,168.19 × 7,797.12
  4. Step 4: Simplify right side
    9,459.24x = 110,471,077.61
  5. Step 5: Solve for x
    x = 110,471,077.61/9,459.24
  6. Step 6: Final answer
    x = 11,678.64

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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.