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Finding the Fourth Proportional to 9,834.01, 13,571.01 and 5,357.78

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Solution

The fourth proportional to 9,834.01, 13,571.01 and 5,357.78 is: 7,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.01 : 13,571.01 = 5,357.78 : x
  2. Step 2: Convert to fraction form
    9,834.01/13,571.01 = 5,357.78/x
  3. Step 3: Cross multiply
    9,834.01x = 13,571.01 × 5,357.78
  4. Step 4: Simplify right side
    9,834.01x = 72,710,485.96
  5. Step 5: Solve for x
    x = 72,710,485.96/9,834.01
  6. Step 6: Final answer
    x = 7,393.78

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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.