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Finding the Fourth Proportional to 9,504.51, 13,116.63 and 5,416.44

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Solution

The fourth proportional to 9,504.51, 13,116.63 and 5,416.44 is: 7,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.51 : 13,116.63 = 5,416.44 : x
  2. Step 2: Convert to fraction form
    9,504.51/13,116.63 = 5,416.44/x
  3. Step 3: Cross multiply
    9,504.51x = 13,116.63 × 5,416.44
  4. Step 4: Simplify right side
    9,504.51x = 71,045,439.40
  5. Step 5: Solve for x
    x = 71,045,439.40/9,504.51
  6. Step 6: Final answer
    x = 7,474.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.