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Finding the Fourth Proportional to 9,702.06, 14,556.87 and 3,859.26

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Solution

The fourth proportional to 9,702.06, 14,556.87 and 3,859.26 is: 5,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.06 : 14,556.87 = 3,859.26 : x
  2. Step 2: Convert to fraction form
    9,702.06/14,556.87 = 3,859.26/x
  3. Step 3: Cross multiply
    9,702.06x = 14,556.87 × 3,859.26
  4. Step 4: Simplify right side
    9,702.06x = 56,178,746.12
  5. Step 5: Solve for x
    x = 56,178,746.12/9,702.06
  6. Step 6: Final answer
    x = 5,790.39

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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.