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Finding the Fourth Proportional to 9,222.60, 13,838.40 and 4,289.70

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Solution

The fourth proportional to 9,222.60, 13,838.40 and 4,289.70 is: 6,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.60 : 13,838.40 = 4,289.70 : x
  2. Step 2: Convert to fraction form
    9,222.60/13,838.40 = 4,289.70/x
  3. Step 3: Cross multiply
    9,222.60x = 13,838.40 × 4,289.70
  4. Step 4: Simplify right side
    9,222.60x = 59,362,584.48
  5. Step 5: Solve for x
    x = 59,362,584.48/9,222.60
  6. Step 6: Final answer
    x = 6,436.64

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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.