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Finding the Fourth Proportional to 9,771.44, 13,482.60 and 5,790.80

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Solution

The fourth proportional to 9,771.44, 13,482.60 and 5,790.80 is: 7,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.44 : 13,482.60 = 5,790.80 : x
  2. Step 2: Convert to fraction form
    9,771.44/13,482.60 = 5,790.80/x
  3. Step 3: Cross multiply
    9,771.44x = 13,482.60 × 5,790.80
  4. Step 4: Simplify right side
    9,771.44x = 78,075,040.08
  5. Step 5: Solve for x
    x = 78,075,040.08/9,771.44
  6. Step 6: Final answer
    x = 7,990.13

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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.