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Finding the Fourth Proportional to 9,202.40, 13,803.60 and 8,145.35

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Solution

The fourth proportional to 9,202.40, 13,803.60 and 8,145.35 is: 12,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.40 : 13,803.60 = 8,145.35 : x
  2. Step 2: Convert to fraction form
    9,202.40/13,803.60 = 8,145.35/x
  3. Step 3: Cross multiply
    9,202.40x = 13,803.60 × 8,145.35
  4. Step 4: Simplify right side
    9,202.40x = 112,435,153.26
  5. Step 5: Solve for x
    x = 112,435,153.26/9,202.40
  6. Step 6: Final answer
    x = 12,218.03

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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.