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Finding the Fourth Proportional to 7,098.18, 9,797.67 and 4,114.77

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Solution

The fourth proportional to 7,098.18, 9,797.67 and 4,114.77 is: 5,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.18 : 9,797.67 = 4,114.77 : x
  2. Step 2: Convert to fraction form
    7,098.18/9,797.67 = 4,114.77/x
  3. Step 3: Cross multiply
    7,098.18x = 9,797.67 × 4,114.77
  4. Step 4: Simplify right side
    7,098.18x = 40,315,158.59
  5. Step 5: Solve for x
    x = 40,315,158.59/7,098.18
  6. Step 6: Final answer
    x = 5,679.65

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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.