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Finding the Fourth Proportional to 9,269.89, 12,782.19 and 5,907.37

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Solution

The fourth proportional to 9,269.89, 12,782.19 and 5,907.37 is: 8,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.89 : 12,782.19 = 5,907.37 : x
  2. Step 2: Convert to fraction form
    9,269.89/12,782.19 = 5,907.37/x
  3. Step 3: Cross multiply
    9,269.89x = 12,782.19 × 5,907.37
  4. Step 4: Simplify right side
    9,269.89x = 75,509,125.74
  5. Step 5: Solve for x
    x = 75,509,125.74/9,269.89
  6. Step 6: Final answer
    x = 8,145.64

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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.