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Finding the Fourth Proportional to 6,836.69, 9,437.00 and 4,004.98

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Solution

The fourth proportional to 6,836.69, 9,437.00 and 4,004.98 is: 5,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.69 : 9,437.00 = 4,004.98 : x
  2. Step 2: Convert to fraction form
    6,836.69/9,437.00 = 4,004.98/x
  3. Step 3: Cross multiply
    6,836.69x = 9,437.00 × 4,004.98
  4. Step 4: Simplify right side
    6,836.69x = 37,794,952.64
  5. Step 5: Solve for x
    x = 37,794,952.64/6,836.69
  6. Step 6: Final answer
    x = 5,528.25

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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.