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Finding the Fourth Proportional to 6,835.16, 9,437.70 and 6,726.21

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Solution

The fourth proportional to 6,835.16, 9,437.70 and 6,726.21 is: 9,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.16 : 9,437.70 = 6,726.21 : x
  2. Step 2: Convert to fraction form
    6,835.16/9,437.70 = 6,726.21/x
  3. Step 3: Cross multiply
    6,835.16x = 9,437.70 × 6,726.21
  4. Step 4: Simplify right side
    6,835.16x = 63,479,952.12
  5. Step 5: Solve for x
    x = 63,479,952.12/6,835.16
  6. Step 6: Final answer
    x = 9,287.27

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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.