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Finding the Fourth Proportional to 9,095.22, 13,642.20 and 2,431.20

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Solution

The fourth proportional to 9,095.22, 13,642.20 and 2,431.20 is: 3,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.22 : 13,642.20 = 2,431.20 : x
  2. Step 2: Convert to fraction form
    9,095.22/13,642.20 = 2,431.20/x
  3. Step 3: Cross multiply
    9,095.22x = 13,642.20 × 2,431.20
  4. Step 4: Simplify right side
    9,095.22x = 33,166,916.64
  5. Step 5: Solve for x
    x = 33,166,916.64/9,095.22
  6. Step 6: Final answer
    x = 3,646.63

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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.