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Finding the Fourth Proportional to 7,100.67, 9,798.96 and 4,118.27

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Solution

The fourth proportional to 7,100.67, 9,798.96 and 4,118.27 is: 5,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.67 : 9,798.96 = 4,118.27 : x
  2. Step 2: Convert to fraction form
    7,100.67/9,798.96 = 4,118.27/x
  3. Step 3: Cross multiply
    7,100.67x = 9,798.96 × 4,118.27
  4. Step 4: Simplify right side
    7,100.67x = 40,354,787.50
  5. Step 5: Solve for x
    x = 40,354,787.50/7,100.67
  6. Step 6: Final answer
    x = 5,683.24

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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.