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Finding the Fourth Proportional to 9,423.90, 14,123.70 and 6,823.80

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Solution

The fourth proportional to 9,423.90, 14,123.70 and 6,823.80 is: 10,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.90 : 14,123.70 = 6,823.80 : x
  2. Step 2: Convert to fraction form
    9,423.90/14,123.70 = 6,823.80/x
  3. Step 3: Cross multiply
    9,423.90x = 14,123.70 × 6,823.80
  4. Step 4: Simplify right side
    9,423.90x = 96,377,304.06
  5. Step 5: Solve for x
    x = 96,377,304.06/9,423.90
  6. Step 6: Final answer
    x = 10,226.90

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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.