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Finding the Fourth Proportional to 9,343.10, 12,881.08 and 7,743.76

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Solution

The fourth proportional to 9,343.10, 12,881.08 and 7,743.76 is: 10,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.10 : 12,881.08 = 7,743.76 : x
  2. Step 2: Convert to fraction form
    9,343.10/12,881.08 = 7,743.76/x
  3. Step 3: Cross multiply
    9,343.10x = 12,881.08 × 7,743.76
  4. Step 4: Simplify right side
    9,343.10x = 99,747,992.06
  5. Step 5: Solve for x
    x = 99,747,992.06/9,343.10
  6. Step 6: Final answer
    x = 10,676.11

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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.