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Finding the Fourth Proportional to 7,098.56, 9,795.79 and 4,074.18

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Solution

The fourth proportional to 7,098.56, 9,795.79 and 4,074.18 is: 5,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.56 : 9,795.79 = 4,074.18 : x
  2. Step 2: Convert to fraction form
    7,098.56/9,795.79 = 4,074.18/x
  3. Step 3: Cross multiply
    7,098.56x = 9,795.79 × 4,074.18
  4. Step 4: Simplify right side
    7,098.56x = 39,909,811.70
  5. Step 5: Solve for x
    x = 39,909,811.70/7,098.56
  6. Step 6: Final answer
    x = 5,622.24

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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.