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Finding the Fourth Proportional to 6,614.02, 9,127.46 and 3,630.13

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Solution

The fourth proportional to 6,614.02, 9,127.46 and 3,630.13 is: 5,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.02 : 9,127.46 = 3,630.13 : x
  2. Step 2: Convert to fraction form
    6,614.02/9,127.46 = 3,630.13/x
  3. Step 3: Cross multiply
    6,614.02x = 9,127.46 × 3,630.13
  4. Step 4: Simplify right side
    6,614.02x = 33,133,857.29
  5. Step 5: Solve for x
    x = 33,133,857.29/6,614.02
  6. Step 6: Final answer
    x = 5,009.64

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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.