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Finding the Fourth Proportional to 9,137.15, 12,609 and 5,158.63

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Solution

The fourth proportional to 9,137.15, 12,609 and 5,158.63 is: 7,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.15 : 12,609 = 5,158.63 : x
  2. Step 2: Convert to fraction form
    9,137.15/12,609 = 5,158.63/x
  3. Step 3: Cross multiply
    9,137.15x = 12,609 × 5,158.63
  4. Step 4: Simplify right side
    9,137.15x = 65,045,134.15
  5. Step 5: Solve for x
    x = 65,045,134.15/9,137.15
  6. Step 6: Final answer
    x = 7,118.76

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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.