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Finding the Fourth Proportional to 6,911.80, 9,533.42 and 4,258.36

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Solution

The fourth proportional to 6,911.80, 9,533.42 and 4,258.36 is: 5,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.80 : 9,533.42 = 4,258.36 : x
  2. Step 2: Convert to fraction form
    6,911.80/9,533.42 = 4,258.36/x
  3. Step 3: Cross multiply
    6,911.80x = 9,533.42 × 4,258.36
  4. Step 4: Simplify right side
    6,911.80x = 40,596,734.39
  5. Step 5: Solve for x
    x = 40,596,734.39/6,911.80
  6. Step 6: Final answer
    x = 5,873.54

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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.