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Finding the Fourth Proportional to 9,461.19, 14,195.03 and 3,619.47

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Solution

The fourth proportional to 9,461.19, 14,195.03 and 3,619.47 is: 5,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.19 : 14,195.03 = 3,619.47 : x
  2. Step 2: Convert to fraction form
    9,461.19/14,195.03 = 3,619.47/x
  3. Step 3: Cross multiply
    9,461.19x = 14,195.03 × 3,619.47
  4. Step 4: Simplify right side
    9,461.19x = 51,378,485.23
  5. Step 5: Solve for x
    x = 51,378,485.23/9,461.19
  6. Step 6: Final answer
    x = 5,430.45

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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.