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Finding the Fourth Proportional to 9,702.65, 14,556.64 and 3,863.36

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Solution

The fourth proportional to 9,702.65, 14,556.64 and 3,863.36 is: 5,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.65 : 14,556.64 = 3,863.36 : x
  2. Step 2: Convert to fraction form
    9,702.65/14,556.64 = 3,863.36/x
  3. Step 3: Cross multiply
    9,702.65x = 14,556.64 × 3,863.36
  4. Step 4: Simplify right side
    9,702.65x = 56,237,467.93
  5. Step 5: Solve for x
    x = 56,237,467.93/9,702.65
  6. Step 6: Final answer
    x = 5,796.10

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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.