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Finding the Fourth Proportional to 6,128.64, 9,193.44 and 2,666.16

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Solution

The fourth proportional to 6,128.64, 9,193.44 and 2,666.16 is: 3,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.64 : 9,193.44 = 2,666.16 : x
  2. Step 2: Convert to fraction form
    6,128.64/9,193.44 = 2,666.16/x
  3. Step 3: Cross multiply
    6,128.64x = 9,193.44 × 2,666.16
  4. Step 4: Simplify right side
    6,128.64x = 24,511,181.99
  5. Step 5: Solve for x
    x = 24,511,181.99/6,128.64
  6. Step 6: Final answer
    x = 3,999.45

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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.