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Finding the Fourth Proportional to 6,038.46, 9,063.16 and 4,190.45

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Solution

The fourth proportional to 6,038.46, 9,063.16 and 4,190.45 is: 6,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.46 : 9,063.16 = 4,190.45 : x
  2. Step 2: Convert to fraction form
    6,038.46/9,063.16 = 4,190.45/x
  3. Step 3: Cross multiply
    6,038.46x = 9,063.16 × 4,190.45
  4. Step 4: Simplify right side
    6,038.46x = 37,978,663.03
  5. Step 5: Solve for x
    x = 37,978,663.03/6,038.46
  6. Step 6: Final answer
    x = 6,289.46

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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.