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Finding the Fourth Proportional to 9,483.42, 13,087.27 and 5,234.68

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Solution

The fourth proportional to 9,483.42, 13,087.27 and 5,234.68 is: 7,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.42 : 13,087.27 = 5,234.68 : x
  2. Step 2: Convert to fraction form
    9,483.42/13,087.27 = 5,234.68/x
  3. Step 3: Cross multiply
    9,483.42x = 13,087.27 × 5,234.68
  4. Step 4: Simplify right side
    9,483.42x = 68,507,670.52
  5. Step 5: Solve for x
    x = 68,507,670.52/9,483.42
  6. Step 6: Final answer
    x = 7,223.94

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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.