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Finding the Fourth Proportional to 9,818.34, 14,729.94 and 4,623

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Solution

The fourth proportional to 9,818.34, 14,729.94 and 4,623 is: 6,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.34 : 14,729.94 = 4,623 : x
  2. Step 2: Convert to fraction form
    9,818.34/14,729.94 = 4,623/x
  3. Step 3: Cross multiply
    9,818.34x = 14,729.94 × 4,623
  4. Step 4: Simplify right side
    9,818.34x = 68,096,512.62
  5. Step 5: Solve for x
    x = 68,096,512.62/9,818.34
  6. Step 6: Final answer
    x = 6,935.64

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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.