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Finding the Fourth Proportional to 9,533.03, 14,283.72 and 6,745.86

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Solution

The fourth proportional to 9,533.03, 14,283.72 and 6,745.86 is: 10,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.03 : 14,283.72 = 6,745.86 : x
  2. Step 2: Convert to fraction form
    9,533.03/14,283.72 = 6,745.86/x
  3. Step 3: Cross multiply
    9,533.03x = 14,283.72 × 6,745.86
  4. Step 4: Simplify right side
    9,533.03x = 96,355,975.40
  5. Step 5: Solve for x
    x = 96,355,975.40/9,533.03
  6. Step 6: Final answer
    x = 10,107.60

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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.