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Finding the Fourth Proportional to 9,189.15, 12,675.05 and 5,409.13

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Solution

The fourth proportional to 9,189.15, 12,675.05 and 5,409.13 is: 7,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.15 : 12,675.05 = 5,409.13 : x
  2. Step 2: Convert to fraction form
    9,189.15/12,675.05 = 5,409.13/x
  3. Step 3: Cross multiply
    9,189.15x = 12,675.05 × 5,409.13
  4. Step 4: Simplify right side
    9,189.15x = 68,560,978.52
  5. Step 5: Solve for x
    x = 68,560,978.52/9,189.15
  6. Step 6: Final answer
    x = 7,461.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.