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Finding the Fourth Proportional to 6,374.33, 9,541.02 and 3,405.35

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Solution

The fourth proportional to 6,374.33, 9,541.02 and 3,405.35 is: 5,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.33 : 9,541.02 = 3,405.35 : x
  2. Step 2: Convert to fraction form
    6,374.33/9,541.02 = 3,405.35/x
  3. Step 3: Cross multiply
    6,374.33x = 9,541.02 × 3,405.35
  4. Step 4: Simplify right side
    6,374.33x = 32,490,512.46
  5. Step 5: Solve for x
    x = 32,490,512.46/6,374.33
  6. Step 6: Final answer
    x = 5,097.09

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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.