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Finding the Fourth Proportional to 6,970.73, 10,442.39 and 4,189.19

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Solution

The fourth proportional to 6,970.73, 10,442.39 and 4,189.19 is: 6,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.73 : 10,442.39 = 4,189.19 : x
  2. Step 2: Convert to fraction form
    6,970.73/10,442.39 = 4,189.19/x
  3. Step 3: Cross multiply
    6,970.73x = 10,442.39 × 4,189.19
  4. Step 4: Simplify right side
    6,970.73x = 43,745,082.61
  5. Step 5: Solve for x
    x = 43,745,082.61/6,970.73
  6. Step 6: Final answer
    x = 6,275.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.