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Finding the Fourth Proportional to 9,189.59, 13,771.59 and 4,798.28

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Solution

The fourth proportional to 9,189.59, 13,771.59 and 4,798.28 is: 7,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.59 : 13,771.59 = 4,798.28 : x
  2. Step 2: Convert to fraction form
    9,189.59/13,771.59 = 4,798.28/x
  3. Step 3: Cross multiply
    9,189.59x = 13,771.59 × 4,798.28
  4. Step 4: Simplify right side
    9,189.59x = 66,079,876.01
  5. Step 5: Solve for x
    x = 66,079,876.01/9,189.59
  6. Step 6: Final answer
    x = 7,190.74

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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.