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Finding the Fourth Proportional to 9,622.53, 14,441.36 and 4,942.35

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Solution

The fourth proportional to 9,622.53, 14,441.36 and 4,942.35 is: 7,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.53 : 14,441.36 = 4,942.35 : x
  2. Step 2: Convert to fraction form
    9,622.53/14,441.36 = 4,942.35/x
  3. Step 3: Cross multiply
    9,622.53x = 14,441.36 × 4,942.35
  4. Step 4: Simplify right side
    9,622.53x = 71,374,255.60
  5. Step 5: Solve for x
    x = 71,374,255.60/9,622.53
  6. Step 6: Final answer
    x = 7,417.41

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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.