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Finding the Fourth Proportional to 6,128.16, 9,196.80 and 3,009.84

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Solution

The fourth proportional to 6,128.16, 9,196.80 and 3,009.84 is: 4,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.16 : 9,196.80 = 3,009.84 : x
  2. Step 2: Convert to fraction form
    6,128.16/9,196.80 = 3,009.84/x
  3. Step 3: Cross multiply
    6,128.16x = 9,196.80 × 3,009.84
  4. Step 4: Simplify right side
    6,128.16x = 27,680,896.51
  5. Step 5: Solve for x
    x = 27,680,896.51/6,128.16
  6. Step 6: Final answer
    x = 4,517.00

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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.