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Finding the Fourth Proportional to 12,277.22, 16,942.02 and 6,971.96

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Solution

The fourth proportional to 12,277.22, 16,942.02 and 6,971.96 is: 9,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.22 : 16,942.02 = 6,971.96 : x
  2. Step 2: Convert to fraction form
    12,277.22/16,942.02 = 6,971.96/x
  3. Step 3: Cross multiply
    12,277.22x = 16,942.02 × 6,971.96
  4. Step 4: Simplify right side
    12,277.22x = 118,119,085.76
  5. Step 5: Solve for x
    x = 118,119,085.76/12,277.22
  6. Step 6: Final answer
    x = 9,621.00

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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.