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Finding the Fourth Proportional to 9,559.59, 13,190.76 and 5,471.07

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Solution

The fourth proportional to 9,559.59, 13,190.76 and 5,471.07 is: 7,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.59 : 13,190.76 = 5,471.07 : x
  2. Step 2: Convert to fraction form
    9,559.59/13,190.76 = 5,471.07/x
  3. Step 3: Cross multiply
    9,559.59x = 13,190.76 × 5,471.07
  4. Step 4: Simplify right side
    9,559.59x = 72,167,571.31
  5. Step 5: Solve for x
    x = 72,167,571.31/9,559.59
  6. Step 6: Final answer
    x = 7,549.23

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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.