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Finding the Fourth Proportional to 9,453.98, 13,039.16 and 6,097.34

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Solution

The fourth proportional to 9,453.98, 13,039.16 and 6,097.34 is: 8,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.98 : 13,039.16 = 6,097.34 : x
  2. Step 2: Convert to fraction form
    9,453.98/13,039.16 = 6,097.34/x
  3. Step 3: Cross multiply
    9,453.98x = 13,039.16 × 6,097.34
  4. Step 4: Simplify right side
    9,453.98x = 79,504,191.83
  5. Step 5: Solve for x
    x = 79,504,191.83/9,453.98
  6. Step 6: Final answer
    x = 8,409.60

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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.