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Finding the Fourth Proportional to 9,702.09, 14,545.71 and 4,433.44

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Solution

The fourth proportional to 9,702.09, 14,545.71 and 4,433.44 is: 6,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.09 : 14,545.71 = 4,433.44 : x
  2. Step 2: Convert to fraction form
    9,702.09/14,545.71 = 4,433.44/x
  3. Step 3: Cross multiply
    9,702.09x = 14,545.71 × 4,433.44
  4. Step 4: Simplify right side
    9,702.09x = 64,487,532.54
  5. Step 5: Solve for x
    x = 64,487,532.54/9,702.09
  6. Step 6: Final answer
    x = 6,646.77

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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.