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Finding the Fourth Proportional to 6,546.76, 9,034.37 and 3,562.58

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Solution

The fourth proportional to 6,546.76, 9,034.37 and 3,562.58 is: 4,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.76 : 9,034.37 = 3,562.58 : x
  2. Step 2: Convert to fraction form
    6,546.76/9,034.37 = 3,562.58/x
  3. Step 3: Cross multiply
    6,546.76x = 9,034.37 × 3,562.58
  4. Step 4: Simplify right side
    6,546.76x = 32,185,684.01
  5. Step 5: Solve for x
    x = 32,185,684.01/6,546.76
  6. Step 6: Final answer
    x = 4,916.28

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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.