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Finding the Fourth Proportional to 9,699.58, 13,382.31 and 5,975.74

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Solution

The fourth proportional to 9,699.58, 13,382.31 and 5,975.74 is: 8,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.58 : 13,382.31 = 5,975.74 : x
  2. Step 2: Convert to fraction form
    9,699.58/13,382.31 = 5,975.74/x
  3. Step 3: Cross multiply
    9,699.58x = 13,382.31 × 5,975.74
  4. Step 4: Simplify right side
    9,699.58x = 79,969,205.16
  5. Step 5: Solve for x
    x = 79,969,205.16/9,699.58
  6. Step 6: Final answer
    x = 8,244.60

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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.