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Finding the Fourth Proportional to 6,546.48, 9,029.34 and 4,157.16

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Solution

The fourth proportional to 6,546.48, 9,029.34 and 4,157.16 is: 5,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.48 : 9,029.34 = 4,157.16 : x
  2. Step 2: Convert to fraction form
    6,546.48/9,029.34 = 4,157.16/x
  3. Step 3: Cross multiply
    6,546.48x = 9,029.34 × 4,157.16
  4. Step 4: Simplify right side
    6,546.48x = 37,536,411.07
  5. Step 5: Solve for x
    x = 37,536,411.07/6,546.48
  6. Step 6: Final answer
    x = 5,733.83

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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.