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Finding the Fourth Proportional to 9,189.99, 13,767.59 and 5,430.53

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Solution

The fourth proportional to 9,189.99, 13,767.59 and 5,430.53 is: 8,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.99 : 13,767.59 = 5,430.53 : x
  2. Step 2: Convert to fraction form
    9,189.99/13,767.59 = 5,430.53/x
  3. Step 3: Cross multiply
    9,189.99x = 13,767.59 × 5,430.53
  4. Step 4: Simplify right side
    9,189.99x = 74,765,310.52
  5. Step 5: Solve for x
    x = 74,765,310.52/9,189.99
  6. Step 6: Final answer
    x = 8,135.52

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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.