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Finding the Fourth Proportional to 6,023.36, 9,052.86 and 4,989.98

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Solution

The fourth proportional to 6,023.36, 9,052.86 and 4,989.98 is: 7,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.36 : 9,052.86 = 4,989.98 : x
  2. Step 2: Convert to fraction form
    6,023.36/9,052.86 = 4,989.98/x
  3. Step 3: Cross multiply
    6,023.36x = 9,052.86 × 4,989.98
  4. Step 4: Simplify right side
    6,023.36x = 45,173,590.34
  5. Step 5: Solve for x
    x = 45,173,590.34/6,023.36
  6. Step 6: Final answer
    x = 7,499.73

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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.