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Finding the Fourth Proportional to 9,518.98, 13,136.30 and 5,741.42

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Solution

The fourth proportional to 9,518.98, 13,136.30 and 5,741.42 is: 7,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.98 : 13,136.30 = 5,741.42 : x
  2. Step 2: Convert to fraction form
    9,518.98/13,136.30 = 5,741.42/x
  3. Step 3: Cross multiply
    9,518.98x = 13,136.30 × 5,741.42
  4. Step 4: Simplify right side
    9,518.98x = 75,421,015.55
  5. Step 5: Solve for x
    x = 75,421,015.55/9,518.98
  6. Step 6: Final answer
    x = 7,923.22

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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.