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Finding the Fourth Proportional to 6,191.58, 9,284.71 and 3,848.07

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Solution

The fourth proportional to 6,191.58, 9,284.71 and 3,848.07 is: 5,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.58 : 9,284.71 = 3,848.07 : x
  2. Step 2: Convert to fraction form
    6,191.58/9,284.71 = 3,848.07/x
  3. Step 3: Cross multiply
    6,191.58x = 9,284.71 × 3,848.07
  4. Step 4: Simplify right side
    6,191.58x = 35,728,214.01
  5. Step 5: Solve for x
    x = 35,728,214.01/6,191.58
  6. Step 6: Final answer
    x = 5,770.45

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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.