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Finding the Fourth Proportional to 38,004.30, 57,009.69 and 9,928.08

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Solution

The fourth proportional to 38,004.30, 57,009.69 and 9,928.08 is: 14,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.30 : 57,009.69 = 9,928.08 : x
  2. Step 2: Convert to fraction form
    38,004.30/57,009.69 = 9,928.08/x
  3. Step 3: Cross multiply
    38,004.30x = 57,009.69 × 9,928.08
  4. Step 4: Simplify right side
    38,004.30x = 565,996,763.10
  5. Step 5: Solve for x
    x = 565,996,763.10/38,004.30
  6. Step 6: Final answer
    x = 14,892.97

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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.