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Finding the Fourth Proportional to 9,702.29, 14,556.13 and 3,863

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Solution

The fourth proportional to 9,702.29, 14,556.13 and 3,863 is: 5,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.29 : 14,556.13 = 3,863 : x
  2. Step 2: Convert to fraction form
    9,702.29/14,556.13 = 3,863/x
  3. Step 3: Cross multiply
    9,702.29x = 14,556.13 × 3,863
  4. Step 4: Simplify right side
    9,702.29x = 56,230,330.19
  5. Step 5: Solve for x
    x = 56,230,330.19/9,702.29
  6. Step 6: Final answer
    x = 5,795.57

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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.