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Finding the Fourth Proportional to 9,189.69, 13,767.17 and 5,430.25

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Solution

The fourth proportional to 9,189.69, 13,767.17 and 5,430.25 is: 8,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.69 : 13,767.17 = 5,430.25 : x
  2. Step 2: Convert to fraction form
    9,189.69/13,767.17 = 5,430.25/x
  3. Step 3: Cross multiply
    9,189.69x = 13,767.17 × 5,430.25
  4. Step 4: Simplify right side
    9,189.69x = 74,759,164.95
  5. Step 5: Solve for x
    x = 74,759,164.95/9,189.69
  6. Step 6: Final answer
    x = 8,135.12

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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.