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Finding the Fourth Proportional to 9,295.17, 13,930.46 and 6,818.40

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Solution

The fourth proportional to 9,295.17, 13,930.46 and 6,818.40 is: 10,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.17 : 13,930.46 = 6,818.40 : x
  2. Step 2: Convert to fraction form
    9,295.17/13,930.46 = 6,818.40/x
  3. Step 3: Cross multiply
    9,295.17x = 13,930.46 × 6,818.40
  4. Step 4: Simplify right side
    9,295.17x = 94,983,344.72
  5. Step 5: Solve for x
    x = 94,983,344.72/9,295.17
  6. Step 6: Final answer
    x = 10,218.57

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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.