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Finding the Fourth Proportional to 9,463.37, 13,059.43 and 5,486.78

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Solution

The fourth proportional to 9,463.37, 13,059.43 and 5,486.78 is: 7,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.37 : 13,059.43 = 5,486.78 : x
  2. Step 2: Convert to fraction form
    9,463.37/13,059.43 = 5,486.78/x
  3. Step 3: Cross multiply
    9,463.37x = 13,059.43 × 5,486.78
  4. Step 4: Simplify right side
    9,463.37x = 71,654,219.34
  5. Step 5: Solve for x
    x = 71,654,219.34/9,463.37
  6. Step 6: Final answer
    x = 7,571.74

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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.