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Finding the Fourth Proportional to 6,335.70, 9,500.34 and 3,002.94

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Solution

The fourth proportional to 6,335.70, 9,500.34 and 3,002.94 is: 4,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.70 : 9,500.34 = 3,002.94 : x
  2. Step 2: Convert to fraction form
    6,335.70/9,500.34 = 3,002.94/x
  3. Step 3: Cross multiply
    6,335.70x = 9,500.34 × 3,002.94
  4. Step 4: Simplify right side
    6,335.70x = 28,528,951.00
  5. Step 5: Solve for x
    x = 28,528,951.00/6,335.70
  6. Step 6: Final answer
    x = 4,502.89

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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.