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Finding the Fourth Proportional to 6,890.78, 9,491.54 and 5,396.02

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Solution

The fourth proportional to 6,890.78, 9,491.54 and 5,396.02 is: 7,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.78 : 9,491.54 = 5,396.02 : x
  2. Step 2: Convert to fraction form
    6,890.78/9,491.54 = 5,396.02/x
  3. Step 3: Cross multiply
    6,890.78x = 9,491.54 × 5,396.02
  4. Step 4: Simplify right side
    6,890.78x = 51,216,539.67
  5. Step 5: Solve for x
    x = 51,216,539.67/6,890.78
  6. Step 6: Final answer
    x = 7,432.62

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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.