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Finding the Fourth Proportional to 9,610.48, 13,262.70 and 5,419

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Solution

The fourth proportional to 9,610.48, 13,262.70 and 5,419 is: 7,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.48 : 13,262.70 = 5,419 : x
  2. Step 2: Convert to fraction form
    9,610.48/13,262.70 = 5,419/x
  3. Step 3: Cross multiply
    9,610.48x = 13,262.70 × 5,419
  4. Step 4: Simplify right side
    9,610.48x = 71,870,571.30
  5. Step 5: Solve for x
    x = 71,870,571.30/9,610.48
  6. Step 6: Final answer
    x = 7,478.35

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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.