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Finding the Fourth Proportional to 9,466.74, 14,201.42 and 4,201.34

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Solution

The fourth proportional to 9,466.74, 14,201.42 and 4,201.34 is: 6,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.74 : 14,201.42 = 4,201.34 : x
  2. Step 2: Convert to fraction form
    9,466.74/14,201.42 = 4,201.34/x
  3. Step 3: Cross multiply
    9,466.74x = 14,201.42 × 4,201.34
  4. Step 4: Simplify right side
    9,466.74x = 59,664,901.89
  5. Step 5: Solve for x
    x = 59,664,901.89/9,466.74
  6. Step 6: Final answer
    x = 6,302.58

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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.