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Finding the Fourth Proportional to 9,699.10, 13,384.42 and 5,928.60

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Solution

The fourth proportional to 9,699.10, 13,384.42 and 5,928.60 is: 8,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.10 : 13,384.42 = 5,928.60 : x
  2. Step 2: Convert to fraction form
    9,699.10/13,384.42 = 5,928.60/x
  3. Step 3: Cross multiply
    9,699.10x = 13,384.42 × 5,928.60
  4. Step 4: Simplify right side
    9,699.10x = 79,350,872.41
  5. Step 5: Solve for x
    x = 79,350,872.41/9,699.10
  6. Step 6: Final answer
    x = 8,181.26

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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.