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Finding the Fourth Proportional to 9,509.68, 14,260.43 and 3,270.32

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Solution

The fourth proportional to 9,509.68, 14,260.43 and 3,270.32 is: 4,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.68 : 14,260.43 = 3,270.32 : x
  2. Step 2: Convert to fraction form
    9,509.68/14,260.43 = 3,270.32/x
  3. Step 3: Cross multiply
    9,509.68x = 14,260.43 × 3,270.32
  4. Step 4: Simplify right side
    9,509.68x = 46,636,169.44
  5. Step 5: Solve for x
    x = 46,636,169.44/9,509.68
  6. Step 6: Final answer
    x = 4,904.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.