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Finding the Fourth Proportional to 6,306.35, 9,448.59 and 4,196.81

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Solution

The fourth proportional to 6,306.35, 9,448.59 and 4,196.81 is: 6,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.35 : 9,448.59 = 4,196.81 : x
  2. Step 2: Convert to fraction form
    6,306.35/9,448.59 = 4,196.81/x
  3. Step 3: Cross multiply
    6,306.35x = 9,448.59 × 4,196.81
  4. Step 4: Simplify right side
    6,306.35x = 39,653,889.75
  5. Step 5: Solve for x
    x = 39,653,889.75/6,306.35
  6. Step 6: Final answer
    x = 6,287.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.