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Finding the Fourth Proportional to 6,038.92, 9,073.50 and 3,848.68

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Solution

The fourth proportional to 6,038.92, 9,073.50 and 3,848.68 is: 5,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.92 : 9,073.50 = 3,848.68 : x
  2. Step 2: Convert to fraction form
    6,038.92/9,073.50 = 3,848.68/x
  3. Step 3: Cross multiply
    6,038.92x = 9,073.50 × 3,848.68
  4. Step 4: Simplify right side
    6,038.92x = 34,920,997.98
  5. Step 5: Solve for x
    x = 34,920,997.98/6,038.92
  6. Step 6: Final answer
    x = 5,782.66

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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.