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Finding the Fourth Proportional to 12,971.94, 17,895.97 and 9,577.08

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Solution

The fourth proportional to 12,971.94, 17,895.97 and 9,577.08 is: 13,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.94 : 17,895.97 = 9,577.08 : x
  2. Step 2: Convert to fraction form
    12,971.94/17,895.97 = 9,577.08/x
  3. Step 3: Cross multiply
    12,971.94x = 17,895.97 × 9,577.08
  4. Step 4: Simplify right side
    12,971.94x = 171,391,081.23
  5. Step 5: Solve for x
    x = 171,391,081.23/12,971.94
  6. Step 6: Final answer
    x = 13,212.44

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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.