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Finding the Fourth Proportional to 9,836.42, 13,574.67 and 5,360.42

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Solution

The fourth proportional to 9,836.42, 13,574.67 and 5,360.42 is: 7,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.42 : 13,574.67 = 5,360.42 : x
  2. Step 2: Convert to fraction form
    9,836.42/13,574.67 = 5,360.42/x
  3. Step 3: Cross multiply
    9,836.42x = 13,574.67 × 5,360.42
  4. Step 4: Simplify right side
    9,836.42x = 72,765,932.56
  5. Step 5: Solve for x
    x = 72,765,932.56/9,836.42
  6. Step 6: Final answer
    x = 7,397.60

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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.