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Finding the Fourth Proportional to 9,555.31, 13,187.82 and 5,578.75

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Solution

The fourth proportional to 9,555.31, 13,187.82 and 5,578.75 is: 7,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.31 : 13,187.82 = 5,578.75 : x
  2. Step 2: Convert to fraction form
    9,555.31/13,187.82 = 5,578.75/x
  3. Step 3: Cross multiply
    9,555.31x = 13,187.82 × 5,578.75
  4. Step 4: Simplify right side
    9,555.31x = 73,571,550.83
  5. Step 5: Solve for x
    x = 73,571,550.83/9,555.31
  6. Step 6: Final answer
    x = 7,699.55

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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.