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Finding the Fourth Proportional to 9,083.20, 13,624.80 and 9,025.60

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Solution

The fourth proportional to 9,083.20, 13,624.80 and 9,025.60 is: 13,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.20 : 13,624.80 = 9,025.60 : x
  2. Step 2: Convert to fraction form
    9,083.20/13,624.80 = 9,025.60/x
  3. Step 3: Cross multiply
    9,083.20x = 13,624.80 × 9,025.60
  4. Step 4: Simplify right side
    9,083.20x = 122,971,994.88
  5. Step 5: Solve for x
    x = 122,971,994.88/9,083.20
  6. Step 6: Final answer
    x = 13,538.40

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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.