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Finding the Fourth Proportional to 9,509.41, 13,122.73 and 5,260.65

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Solution

The fourth proportional to 9,509.41, 13,122.73 and 5,260.65 is: 7,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.41 : 13,122.73 = 5,260.65 : x
  2. Step 2: Convert to fraction form
    9,509.41/13,122.73 = 5,260.65/x
  3. Step 3: Cross multiply
    9,509.41x = 13,122.73 × 5,260.65
  4. Step 4: Simplify right side
    9,509.41x = 69,034,089.57
  5. Step 5: Solve for x
    x = 69,034,089.57/9,509.41
  6. Step 6: Final answer
    x = 7,259.56

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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.