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Finding the Fourth Proportional to 6,701.42, 9,246.62 and 4,048.83

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Solution

The fourth proportional to 6,701.42, 9,246.62 and 4,048.83 is: 5,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.42 : 9,246.62 = 4,048.83 : x
  2. Step 2: Convert to fraction form
    6,701.42/9,246.62 = 4,048.83/x
  3. Step 3: Cross multiply
    6,701.42x = 9,246.62 × 4,048.83
  4. Step 4: Simplify right side
    6,701.42x = 37,437,972.21
  5. Step 5: Solve for x
    x = 37,437,972.21/6,701.42
  6. Step 6: Final answer
    x = 5,586.58

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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.