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Finding the Fourth Proportional to 12,274.47, 16,938.72 and 6,971.00

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Solution

The fourth proportional to 12,274.47, 16,938.72 and 6,971.00 is: 9,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.47 : 16,938.72 = 6,971.00 : x
  2. Step 2: Convert to fraction form
    12,274.47/16,938.72 = 6,971.00/x
  3. Step 3: Cross multiply
    12,274.47x = 16,938.72 × 6,971.00
  4. Step 4: Simplify right side
    12,274.47x = 118,079,732.43
  5. Step 5: Solve for x
    x = 118,079,732.43/12,274.47
  6. Step 6: Final answer
    x = 9,619.95

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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.