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Finding the Fourth Proportional to 9,830.40, 13,576.96 and 7,619

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Solution

The fourth proportional to 9,830.40, 13,576.96 and 7,619 is: 10,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.40 : 13,576.96 = 7,619 : x
  2. Step 2: Convert to fraction form
    9,830.40/13,576.96 = 7,619/x
  3. Step 3: Cross multiply
    9,830.40x = 13,576.96 × 7,619
  4. Step 4: Simplify right side
    9,830.40x = 103,442,858.24
  5. Step 5: Solve for x
    x = 103,442,858.24/9,830.40
  6. Step 6: Final answer
    x = 10,522.75

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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.