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Finding the Fourth Proportional to 9,414.18, 14,123.70 and 4,223.70

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Solution

The fourth proportional to 9,414.18, 14,123.70 and 4,223.70 is: 6,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.18 : 14,123.70 = 4,223.70 : x
  2. Step 2: Convert to fraction form
    9,414.18/14,123.70 = 4,223.70/x
  3. Step 3: Cross multiply
    9,414.18x = 14,123.70 × 4,223.70
  4. Step 4: Simplify right side
    9,414.18x = 59,654,271.69
  5. Step 5: Solve for x
    x = 59,654,271.69/9,414.18
  6. Step 6: Final answer
    x = 6,336.64

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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.