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Finding the Fourth Proportional to 9,137.29, 12,608.10 and 5,359.03

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Solution

The fourth proportional to 9,137.29, 12,608.10 and 5,359.03 is: 7,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.29 : 12,608.10 = 5,359.03 : x
  2. Step 2: Convert to fraction form
    9,137.29/12,608.10 = 5,359.03/x
  3. Step 3: Cross multiply
    9,137.29x = 12,608.10 × 5,359.03
  4. Step 4: Simplify right side
    9,137.29x = 67,567,186.14
  5. Step 5: Solve for x
    x = 67,567,186.14/9,137.29
  6. Step 6: Final answer
    x = 7,394.66

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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.