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Finding the Fourth Proportional to 6,405.16, 9,612.02 and 2,245.16

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Solution

The fourth proportional to 6,405.16, 9,612.02 and 2,245.16 is: 3,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.16 : 9,612.02 = 2,245.16 : x
  2. Step 2: Convert to fraction form
    6,405.16/9,612.02 = 2,245.16/x
  3. Step 3: Cross multiply
    6,405.16x = 9,612.02 × 2,245.16
  4. Step 4: Simplify right side
    6,405.16x = 21,580,522.82
  5. Step 5: Solve for x
    x = 21,580,522.82/6,405.16
  6. Step 6: Final answer
    x = 3,369.24

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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.