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Finding the Fourth Proportional to 9,883.38, 14,826.69 and 4,038.42

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Solution

The fourth proportional to 9,883.38, 14,826.69 and 4,038.42 is: 6,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.38 : 14,826.69 = 4,038.42 : x
  2. Step 2: Convert to fraction form
    9,883.38/14,826.69 = 4,038.42/x
  3. Step 3: Cross multiply
    9,883.38x = 14,826.69 × 4,038.42
  4. Step 4: Simplify right side
    9,883.38x = 59,876,401.43
  5. Step 5: Solve for x
    x = 59,876,401.43/9,883.38
  6. Step 6: Final answer
    x = 6,058.29

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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.