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Finding the Fourth Proportional to 9,509.67, 13,122.72 and 5,260.55

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Solution

The fourth proportional to 9,509.67, 13,122.72 and 5,260.55 is: 7,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.67 : 13,122.72 = 5,260.55 : x
  2. Step 2: Convert to fraction form
    9,509.67/13,122.72 = 5,260.55/x
  3. Step 3: Cross multiply
    9,509.67x = 13,122.72 × 5,260.55
  4. Step 4: Simplify right side
    9,509.67x = 69,032,659.08
  5. Step 5: Solve for x
    x = 69,032,659.08/9,509.67
  6. Step 6: Final answer
    x = 7,259.21

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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.