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Finding the Fourth Proportional to 9,615.21, 13,269 and 5,308.31

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Solution

The fourth proportional to 9,615.21, 13,269 and 5,308.31 is: 7,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.21 : 13,269 = 5,308.31 : x
  2. Step 2: Convert to fraction form
    9,615.21/13,269 = 5,308.31/x
  3. Step 3: Cross multiply
    9,615.21x = 13,269 × 5,308.31
  4. Step 4: Simplify right side
    9,615.21x = 70,435,899.05
  5. Step 5: Solve for x
    x = 70,435,899.05/9,615.21
  6. Step 6: Final answer
    x = 7,325.47

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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.