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Finding the Fourth Proportional to 6,546.60, 9,034.35 and 3,562.46

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Solution

The fourth proportional to 6,546.60, 9,034.35 and 3,562.46 is: 4,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,034.35 = 3,562.46 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,034.35 = 3,562.46/x
  3. Step 3: Cross multiply
    6,546.60x = 9,034.35 × 3,562.46
  4. Step 4: Simplify right side
    6,546.60x = 32,184,510.50
  5. Step 5: Solve for x
    x = 32,184,510.50/6,546.60
  6. Step 6: Final answer
    x = 4,916.22

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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.