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Finding the Fourth Proportional to 9,102.10, 13,657.61 and 3,259.16

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Solution

The fourth proportional to 9,102.10, 13,657.61 and 3,259.16 is: 4,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.10 : 13,657.61 = 3,259.16 : x
  2. Step 2: Convert to fraction form
    9,102.10/13,657.61 = 3,259.16/x
  3. Step 3: Cross multiply
    9,102.10x = 13,657.61 × 3,259.16
  4. Step 4: Simplify right side
    9,102.10x = 44,512,336.21
  5. Step 5: Solve for x
    x = 44,512,336.21/9,102.10
  6. Step 6: Final answer
    x = 4,890.34

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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.