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Finding the Fourth Proportional to 9,466.78, 14,191.12 and 3,542.06

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Solution

The fourth proportional to 9,466.78, 14,191.12 and 3,542.06 is: 5,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.78 : 14,191.12 = 3,542.06 : x
  2. Step 2: Convert to fraction form
    9,466.78/14,191.12 = 3,542.06/x
  3. Step 3: Cross multiply
    9,466.78x = 14,191.12 × 3,542.06
  4. Step 4: Simplify right side
    9,466.78x = 50,265,798.51
  5. Step 5: Solve for x
    x = 50,265,798.51/9,466.78
  6. Step 6: Final answer
    x = 5,309.70

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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.