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Finding the Fourth Proportional to 9,238.46, 12,747.60 and 5,259.66

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Solution

The fourth proportional to 9,238.46, 12,747.60 and 5,259.66 is: 7,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.46 : 12,747.60 = 5,259.66 : x
  2. Step 2: Convert to fraction form
    9,238.46/12,747.60 = 5,259.66/x
  3. Step 3: Cross multiply
    9,238.46x = 12,747.60 × 5,259.66
  4. Step 4: Simplify right side
    9,238.46x = 67,048,041.82
  5. Step 5: Solve for x
    x = 67,048,041.82/9,238.46
  6. Step 6: Final answer
    x = 7,257.49

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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.