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Finding the Fourth Proportional to 9,283.68, 13,930.56 and 6,156

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Solution

The fourth proportional to 9,283.68, 13,930.56 and 6,156 is: 9,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.68 : 13,930.56 = 6,156 : x
  2. Step 2: Convert to fraction form
    9,283.68/13,930.56 = 6,156/x
  3. Step 3: Cross multiply
    9,283.68x = 13,930.56 × 6,156
  4. Step 4: Simplify right side
    9,283.68x = 85,756,527.36
  5. Step 5: Solve for x
    x = 85,756,527.36/9,283.68
  6. Step 6: Final answer
    x = 9,237.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.