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Finding the Fourth Proportional to 6,316.07, 9,463.31 and 3,541.01

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Solution

The fourth proportional to 6,316.07, 9,463.31 and 3,541.01 is: 5,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.07 : 9,463.31 = 3,541.01 : x
  2. Step 2: Convert to fraction form
    6,316.07/9,463.31 = 3,541.01/x
  3. Step 3: Cross multiply
    6,316.07x = 9,463.31 × 3,541.01
  4. Step 4: Simplify right side
    6,316.07x = 33,509,628.03
  5. Step 5: Solve for x
    x = 33,509,628.03/6,316.07
  6. Step 6: Final answer
    x = 5,305.46

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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.