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Finding the Fourth Proportional to 7,051.70, 9,727.98 and 4,217.42

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Solution

The fourth proportional to 7,051.70, 9,727.98 and 4,217.42 is: 5,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.70 : 9,727.98 = 4,217.42 : x
  2. Step 2: Convert to fraction form
    7,051.70/9,727.98 = 4,217.42/x
  3. Step 3: Cross multiply
    7,051.70x = 9,727.98 × 4,217.42
  4. Step 4: Simplify right side
    7,051.70x = 41,026,977.41
  5. Step 5: Solve for x
    x = 41,026,977.41/7,051.70
  6. Step 6: Final answer
    x = 5,818.03

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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.