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Finding the Fourth Proportional to 9,626.40, 14,428.64 and 4,076.28

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Solution

The fourth proportional to 9,626.40, 14,428.64 and 4,076.28 is: 6,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.40 : 14,428.64 = 4,076.28 : x
  2. Step 2: Convert to fraction form
    9,626.40/14,428.64 = 4,076.28/x
  3. Step 3: Cross multiply
    9,626.40x = 14,428.64 × 4,076.28
  4. Step 4: Simplify right side
    9,626.40x = 58,815,176.66
  5. Step 5: Solve for x
    x = 58,815,176.66/9,626.40
  6. Step 6: Final answer
    x = 6,109.78

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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.