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Finding the Fourth Proportional to 9,352.91, 14,018.09 and 4,085.66

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Solution

The fourth proportional to 9,352.91, 14,018.09 and 4,085.66 is: 6,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.91 : 14,018.09 = 4,085.66 : x
  2. Step 2: Convert to fraction form
    9,352.91/14,018.09 = 4,085.66/x
  3. Step 3: Cross multiply
    9,352.91x = 14,018.09 × 4,085.66
  4. Step 4: Simplify right side
    9,352.91x = 57,273,149.59
  5. Step 5: Solve for x
    x = 57,273,149.59/9,352.91
  6. Step 6: Final answer
    x = 6,123.56

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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.