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Finding the Fourth Proportional to 9,204, 13,798.68 and 5,303.84

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Solution

The fourth proportional to 9,204, 13,798.68 and 5,303.84 is: 7,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204 : 13,798.68 = 5,303.84 : x
  2. Step 2: Convert to fraction form
    9,204/13,798.68 = 5,303.84/x
  3. Step 3: Cross multiply
    9,204x = 13,798.68 × 5,303.84
  4. Step 4: Simplify right side
    9,204x = 73,185,990.93
  5. Step 5: Solve for x
    x = 73,185,990.93/9,204
  6. Step 6: Final answer
    x = 7,951.54

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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.