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Finding the Fourth Proportional to 9,137.95, 12,609.66 and 5,159.45

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Solution

The fourth proportional to 9,137.95, 12,609.66 and 5,159.45 is: 7,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.95 : 12,609.66 = 5,159.45 : x
  2. Step 2: Convert to fraction form
    9,137.95/12,609.66 = 5,159.45/x
  3. Step 3: Cross multiply
    9,137.95x = 12,609.66 × 5,159.45
  4. Step 4: Simplify right side
    9,137.95x = 65,058,961.16
  5. Step 5: Solve for x
    x = 65,058,961.16/9,137.95
  6. Step 6: Final answer
    x = 7,119.65

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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.