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Finding the Fourth Proportional to 9,676.50, 13,352.28 and 5,369.52

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Solution

The fourth proportional to 9,676.50, 13,352.28 and 5,369.52 is: 7,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.50 : 13,352.28 = 5,369.52 : x
  2. Step 2: Convert to fraction form
    9,676.50/13,352.28 = 5,369.52/x
  3. Step 3: Cross multiply
    9,676.50x = 13,352.28 × 5,369.52
  4. Step 4: Simplify right side
    9,676.50x = 71,695,334.51
  5. Step 5: Solve for x
    x = 71,695,334.51/9,676.50
  6. Step 6: Final answer
    x = 7,409.22

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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.