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Finding the Fourth Proportional to 6,434.37, 9,656.97 and 2,541.51

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Solution

The fourth proportional to 6,434.37, 9,656.97 and 2,541.51 is: 3,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.37 : 9,656.97 = 2,541.51 : x
  2. Step 2: Convert to fraction form
    6,434.37/9,656.97 = 2,541.51/x
  3. Step 3: Cross multiply
    6,434.37x = 9,656.97 × 2,541.51
  4. Step 4: Simplify right side
    6,434.37x = 24,543,285.82
  5. Step 5: Solve for x
    x = 24,543,285.82/6,434.37
  6. Step 6: Final answer
    x = 3,814.40

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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.