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Finding the Fourth Proportional to 9,406.43, 14,108.49 and 5,459.84

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Solution

The fourth proportional to 9,406.43, 14,108.49 and 5,459.84 is: 8,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.43 : 14,108.49 = 5,459.84 : x
  2. Step 2: Convert to fraction form
    9,406.43/14,108.49 = 5,459.84/x
  3. Step 3: Cross multiply
    9,406.43x = 14,108.49 × 5,459.84
  4. Step 4: Simplify right side
    9,406.43x = 77,030,007.02
  5. Step 5: Solve for x
    x = 77,030,007.02/9,406.43
  6. Step 6: Final answer
    x = 8,189.08

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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.