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Finding the Fourth Proportional to 9,357.69, 12,907.95 and 5,578.33

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Solution

The fourth proportional to 9,357.69, 12,907.95 and 5,578.33 is: 7,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.69 : 12,907.95 = 5,578.33 : x
  2. Step 2: Convert to fraction form
    9,357.69/12,907.95 = 5,578.33/x
  3. Step 3: Cross multiply
    9,357.69x = 12,907.95 × 5,578.33
  4. Step 4: Simplify right side
    9,357.69x = 72,004,804.72
  5. Step 5: Solve for x
    x = 72,004,804.72/9,357.69
  6. Step 6: Final answer
    x = 7,694.72

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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.