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Finding the Fourth Proportional to 6,160.63, 9,243.23 and 3,697.21

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Solution

The fourth proportional to 6,160.63, 9,243.23 and 3,697.21 is: 5,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.63 : 9,243.23 = 3,697.21 : x
  2. Step 2: Convert to fraction form
    6,160.63/9,243.23 = 3,697.21/x
  3. Step 3: Cross multiply
    6,160.63x = 9,243.23 × 3,697.21
  4. Step 4: Simplify right side
    6,160.63x = 34,174,162.39
  5. Step 5: Solve for x
    x = 34,174,162.39/6,160.63
  6. Step 6: Final answer
    x = 5,547.19

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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.