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Finding the Fourth Proportional to 7,134.36, 9,823.76 and 6,326.08

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Solution

The fourth proportional to 7,134.36, 9,823.76 and 6,326.08 is: 8,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.36 : 9,823.76 = 6,326.08 : x
  2. Step 2: Convert to fraction form
    7,134.36/9,823.76 = 6,326.08/x
  3. Step 3: Cross multiply
    7,134.36x = 9,823.76 × 6,326.08
  4. Step 4: Simplify right side
    7,134.36x = 62,145,891.66
  5. Step 5: Solve for x
    x = 62,145,891.66/7,134.36
  6. Step 6: Final answer
    x = 8,710.79

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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.