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Finding the Fourth Proportional to 9,461.98, 14,195.40 and 3,619.45

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Solution

The fourth proportional to 9,461.98, 14,195.40 and 3,619.45 is: 5,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.98 : 14,195.40 = 3,619.45 : x
  2. Step 2: Convert to fraction form
    9,461.98/14,195.40 = 3,619.45/x
  3. Step 3: Cross multiply
    9,461.98x = 14,195.40 × 3,619.45
  4. Step 4: Simplify right side
    9,461.98x = 51,379,540.53
  5. Step 5: Solve for x
    x = 51,379,540.53/9,461.98
  6. Step 6: Final answer
    x = 5,430.10

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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.