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Finding the Fourth Proportional to 9,102.64, 13,636.84 and 5,195.20

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Solution

The fourth proportional to 9,102.64, 13,636.84 and 5,195.20 is: 7,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.64 : 13,636.84 = 5,195.20 : x
  2. Step 2: Convert to fraction form
    9,102.64/13,636.84 = 5,195.20/x
  3. Step 3: Cross multiply
    9,102.64x = 13,636.84 × 5,195.20
  4. Step 4: Simplify right side
    9,102.64x = 70,846,111.17
  5. Step 5: Solve for x
    x = 70,846,111.17/9,102.64
  6. Step 6: Final answer
    x = 7,783.03

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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.