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Finding the Fourth Proportional to 9,076.40, 13,622.70 and 7,845.20

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Solution

The fourth proportional to 9,076.40, 13,622.70 and 7,845.20 is: 11,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.40 : 13,622.70 = 7,845.20 : x
  2. Step 2: Convert to fraction form
    9,076.40/13,622.70 = 7,845.20/x
  3. Step 3: Cross multiply
    9,076.40x = 13,622.70 × 7,845.20
  4. Step 4: Simplify right side
    9,076.40x = 106,872,806.04
  5. Step 5: Solve for x
    x = 106,872,806.04/9,076.40
  6. Step 6: Final answer
    x = 11,774.80

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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.