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Finding the Fourth Proportional to 7,098.60, 9,795.18 and 4,226.94

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Solution

The fourth proportional to 7,098.60, 9,795.18 and 4,226.94 is: 5,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.60 : 9,795.18 = 4,226.94 : x
  2. Step 2: Convert to fraction form
    7,098.60/9,795.18 = 4,226.94/x
  3. Step 3: Cross multiply
    7,098.60x = 9,795.18 × 4,226.94
  4. Step 4: Simplify right side
    7,098.60x = 41,403,638.15
  5. Step 5: Solve for x
    x = 41,403,638.15/7,098.60
  6. Step 6: Final answer
    x = 5,832.65

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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.