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Finding the Fourth Proportional to 12,277.71, 16,941.69 and 6,971.40

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Solution

The fourth proportional to 12,277.71, 16,941.69 and 6,971.40 is: 9,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.71 : 16,941.69 = 6,971.40 : x
  2. Step 2: Convert to fraction form
    12,277.71/16,941.69 = 6,971.40/x
  3. Step 3: Cross multiply
    12,277.71x = 16,941.69 × 6,971.40
  4. Step 4: Simplify right side
    12,277.71x = 118,107,297.67
  5. Step 5: Solve for x
    x = 118,107,297.67/12,277.71
  6. Step 6: Final answer
    x = 9,619.65

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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.