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Finding the Fourth Proportional to 9,873.54, 13,626.14 and 5,567.70

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Solution

The fourth proportional to 9,873.54, 13,626.14 and 5,567.70 is: 7,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.54 : 13,626.14 = 5,567.70 : x
  2. Step 2: Convert to fraction form
    9,873.54/13,626.14 = 5,567.70/x
  3. Step 3: Cross multiply
    9,873.54x = 13,626.14 × 5,567.70
  4. Step 4: Simplify right side
    9,873.54x = 75,866,231.84
  5. Step 5: Solve for x
    x = 75,866,231.84/9,873.54
  6. Step 6: Final answer
    x = 7,683.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.