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Finding the Fourth Proportional to 9,178.40, 13,767.60 and 6,605.60

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Solution

The fourth proportional to 9,178.40, 13,767.60 and 6,605.60 is: 9,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.40 : 13,767.60 = 6,605.60 : x
  2. Step 2: Convert to fraction form
    9,178.40/13,767.60 = 6,605.60/x
  3. Step 3: Cross multiply
    9,178.40x = 13,767.60 × 6,605.60
  4. Step 4: Simplify right side
    9,178.40x = 90,943,258.56
  5. Step 5: Solve for x
    x = 90,943,258.56/9,178.40
  6. Step 6: Final answer
    x = 9,908.40

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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.