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Finding the Fourth Proportional to 9,814.98, 13,545.99 and 6,279.06

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Solution

The fourth proportional to 9,814.98, 13,545.99 and 6,279.06 is: 8,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.98 : 13,545.99 = 6,279.06 : x
  2. Step 2: Convert to fraction form
    9,814.98/13,545.99 = 6,279.06/x
  3. Step 3: Cross multiply
    9,814.98x = 13,545.99 × 6,279.06
  4. Step 4: Simplify right side
    9,814.98x = 85,056,083.97
  5. Step 5: Solve for x
    x = 85,056,083.97/9,814.98
  6. Step 6: Final answer
    x = 8,665.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.