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Finding the Fourth Proportional to 6,335.75, 9,504.89 and 1,953.02

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Solution

The fourth proportional to 6,335.75, 9,504.89 and 1,953.02 is: 2,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.75 : 9,504.89 = 1,953.02 : x
  2. Step 2: Convert to fraction form
    6,335.75/9,504.89 = 1,953.02/x
  3. Step 3: Cross multiply
    6,335.75x = 9,504.89 × 1,953.02
  4. Step 4: Simplify right side
    6,335.75x = 18,563,240.27
  5. Step 5: Solve for x
    x = 18,563,240.27/6,335.75
  6. Step 6: Final answer
    x = 2,929.92

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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.