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Finding the Fourth Proportional to 9,702.27, 14,545.99 and 4,433.63

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Solution

The fourth proportional to 9,702.27, 14,545.99 and 4,433.63 is: 6,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.27 : 14,545.99 = 4,433.63 : x
  2. Step 2: Convert to fraction form
    9,702.27/14,545.99 = 4,433.63/x
  3. Step 3: Cross multiply
    9,702.27x = 14,545.99 × 4,433.63
  4. Step 4: Simplify right side
    9,702.27x = 64,491,537.64
  5. Step 5: Solve for x
    x = 64,491,537.64/9,702.27
  6. Step 6: Final answer
    x = 6,647.06

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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.