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Finding the Fourth Proportional to 9,836.12, 13,573.88 and 5,359.91

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Solution

The fourth proportional to 9,836.12, 13,573.88 and 5,359.91 is: 7,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.12 : 13,573.88 = 5,359.91 : x
  2. Step 2: Convert to fraction form
    9,836.12/13,573.88 = 5,359.91/x
  3. Step 3: Cross multiply
    9,836.12x = 13,573.88 × 5,359.91
  4. Step 4: Simplify right side
    9,836.12x = 72,754,680.48
  5. Step 5: Solve for x
    x = 72,754,680.48/9,836.12
  6. Step 6: Final answer
    x = 7,396.69

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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.