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Finding the Fourth Proportional to 6,181.66, 9,261.68 and 5,148.31

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Solution

The fourth proportional to 6,181.66, 9,261.68 and 5,148.31 is: 7,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.66 : 9,261.68 = 5,148.31 : x
  2. Step 2: Convert to fraction form
    6,181.66/9,261.68 = 5,148.31/x
  3. Step 3: Cross multiply
    6,181.66x = 9,261.68 × 5,148.31
  4. Step 4: Simplify right side
    6,181.66x = 47,681,927.71
  5. Step 5: Solve for x
    x = 47,681,927.71/6,181.66
  6. Step 6: Final answer
    x = 7,713.46

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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.