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Finding the Fourth Proportional to 9,137.09, 12,609.11 and 5,158.98

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Solution

The fourth proportional to 9,137.09, 12,609.11 and 5,158.98 is: 7,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.09 : 12,609.11 = 5,158.98 : x
  2. Step 2: Convert to fraction form
    9,137.09/12,609.11 = 5,158.98/x
  3. Step 3: Cross multiply
    9,137.09x = 12,609.11 × 5,158.98
  4. Step 4: Simplify right side
    9,137.09x = 65,050,120.51
  5. Step 5: Solve for x
    x = 65,050,120.51/9,137.09
  6. Step 6: Final answer
    x = 7,119.35

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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.