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Finding the Fourth Proportional to 9,657.26, 13,320.14 and 8,863.16

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Solution

The fourth proportional to 9,657.26, 13,320.14 and 8,863.16 is: 12,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.26 : 13,320.14 = 8,863.16 : x
  2. Step 2: Convert to fraction form
    9,657.26/13,320.14 = 8,863.16/x
  3. Step 3: Cross multiply
    9,657.26x = 13,320.14 × 8,863.16
  4. Step 4: Simplify right side
    9,657.26x = 118,058,532.04
  5. Step 5: Solve for x
    x = 118,058,532.04/9,657.26
  6. Step 6: Final answer
    x = 12,224.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.