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Finding the Fourth Proportional to 6,700.58, 9,243.69 and 4,181.06

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Solution

The fourth proportional to 6,700.58, 9,243.69 and 4,181.06 is: 5,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.58 : 9,243.69 = 4,181.06 : x
  2. Step 2: Convert to fraction form
    6,700.58/9,243.69 = 4,181.06/x
  3. Step 3: Cross multiply
    6,700.58x = 9,243.69 × 4,181.06
  4. Step 4: Simplify right side
    6,700.58x = 38,648,422.51
  5. Step 5: Solve for x
    x = 38,648,422.51/6,700.58
  6. Step 6: Final answer
    x = 5,767.92

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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.