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Finding the Fourth Proportional to 9,459.18, 14,198.49 and 9,109.26

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Solution

The fourth proportional to 9,459.18, 14,198.49 and 9,109.26 is: 13,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.18 : 14,198.49 = 9,109.26 : x
  2. Step 2: Convert to fraction form
    9,459.18/14,198.49 = 9,109.26/x
  3. Step 3: Cross multiply
    9,459.18x = 14,198.49 × 9,109.26
  4. Step 4: Simplify right side
    9,459.18x = 129,337,737.02
  5. Step 5: Solve for x
    x = 129,337,737.02/9,459.18
  6. Step 6: Final answer
    x = 13,673.25

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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.