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Finding the Fourth Proportional to 9,260.22, 12,783.32 and 5,907.64

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Solution

The fourth proportional to 9,260.22, 12,783.32 and 5,907.64 is: 8,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.22 : 12,783.32 = 5,907.64 : x
  2. Step 2: Convert to fraction form
    9,260.22/12,783.32 = 5,907.64/x
  3. Step 3: Cross multiply
    9,260.22x = 12,783.32 × 5,907.64
  4. Step 4: Simplify right side
    9,260.22x = 75,519,252.56
  5. Step 5: Solve for x
    x = 75,519,252.56/9,260.22
  6. Step 6: Final answer
    x = 8,155.23

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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.