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Finding the Fourth Proportional to 6,133.84, 9,188.52 and 2,842.48

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Solution

The fourth proportional to 6,133.84, 9,188.52 and 2,842.48 is: 4,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.84 : 9,188.52 = 2,842.48 : x
  2. Step 2: Convert to fraction form
    6,133.84/9,188.52 = 2,842.48/x
  3. Step 3: Cross multiply
    6,133.84x = 9,188.52 × 2,842.48
  4. Step 4: Simplify right side
    6,133.84x = 26,118,184.33
  5. Step 5: Solve for x
    x = 26,118,184.33/6,133.84
  6. Step 6: Final answer
    x = 4,258.05

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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.