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Finding the Fourth Proportional to 12,709.09, 19,069.08 and 6,140.17

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Solution

The fourth proportional to 12,709.09, 19,069.08 and 6,140.17 is: 9,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.09 : 19,069.08 = 6,140.17 : x
  2. Step 2: Convert to fraction form
    12,709.09/19,069.08 = 6,140.17/x
  3. Step 3: Cross multiply
    12,709.09x = 19,069.08 × 6,140.17
  4. Step 4: Simplify right side
    12,709.09x = 117,087,392.94
  5. Step 5: Solve for x
    x = 117,087,392.94/12,709.09
  6. Step 6: Final answer
    x = 9,212.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.