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Finding the Fourth Proportional to 6,023.40, 9,022.95 and 5,045.98

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Solution

The fourth proportional to 6,023.40, 9,022.95 and 5,045.98 is: 7,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.40 : 9,022.95 = 5,045.98 : x
  2. Step 2: Convert to fraction form
    6,023.40/9,022.95 = 5,045.98/x
  3. Step 3: Cross multiply
    6,023.40x = 9,022.95 × 5,045.98
  4. Step 4: Simplify right side
    6,023.40x = 45,529,625.24
  5. Step 5: Solve for x
    x = 45,529,625.24/6,023.40
  6. Step 6: Final answer
    x = 7,558.79

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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.