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Finding the Fourth Proportional to 6,456.51, 9,685.98 and 3,338.01

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Solution

The fourth proportional to 6,456.51, 9,685.98 and 3,338.01 is: 5,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.51 : 9,685.98 = 3,338.01 : x
  2. Step 2: Convert to fraction form
    6,456.51/9,685.98 = 3,338.01/x
  3. Step 3: Cross multiply
    6,456.51x = 9,685.98 × 3,338.01
  4. Step 4: Simplify right side
    6,456.51x = 32,331,898.10
  5. Step 5: Solve for x
    x = 32,331,898.10/6,456.51
  6. Step 6: Final answer
    x = 5,007.64

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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.