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Finding the Fourth Proportional to 9,509.27, 13,109.06 and 6,520.37

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Solution

The fourth proportional to 9,509.27, 13,109.06 and 6,520.37 is: 8,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.27 : 13,109.06 = 6,520.37 : x
  2. Step 2: Convert to fraction form
    9,509.27/13,109.06 = 6,520.37/x
  3. Step 3: Cross multiply
    9,509.27x = 13,109.06 × 6,520.37
  4. Step 4: Simplify right side
    9,509.27x = 85,475,921.55
  5. Step 5: Solve for x
    x = 85,475,921.55/9,509.27
  6. Step 6: Final answer
    x = 8,988.69

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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.