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Finding the Fourth Proportional to 9,814.98, 13,544.93 and 5,338.99

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Solution

The fourth proportional to 9,814.98, 13,544.93 and 5,338.99 is: 7,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.98 : 13,544.93 = 5,338.99 : x
  2. Step 2: Convert to fraction form
    9,814.98/13,544.93 = 5,338.99/x
  3. Step 3: Cross multiply
    9,814.98x = 13,544.93 × 5,338.99
  4. Step 4: Simplify right side
    9,814.98x = 72,316,185.26
  5. Step 5: Solve for x
    x = 72,316,185.26/9,814.98
  6. Step 6: Final answer
    x = 7,367.94

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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.