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Finding the Fourth Proportional to 9,165.12, 12,636.72 and 8,057.04

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Solution

The fourth proportional to 9,165.12, 12,636.72 and 8,057.04 is: 11,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.12 : 12,636.72 = 8,057.04 : x
  2. Step 2: Convert to fraction form
    9,165.12/12,636.72 = 8,057.04/x
  3. Step 3: Cross multiply
    9,165.12x = 12,636.72 × 8,057.04
  4. Step 4: Simplify right side
    9,165.12x = 101,814,558.51
  5. Step 5: Solve for x
    x = 101,814,558.51/9,165.12
  6. Step 6: Final answer
    x = 11,108.92

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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.