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Finding the Fourth Proportional to 9,793.96, 14,693.47 and 4,246.02

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Solution

The fourth proportional to 9,793.96, 14,693.47 and 4,246.02 is: 6,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.96 : 14,693.47 = 4,246.02 : x
  2. Step 2: Convert to fraction form
    9,793.96/14,693.47 = 4,246.02/x
  3. Step 3: Cross multiply
    9,793.96x = 14,693.47 × 4,246.02
  4. Step 4: Simplify right side
    9,793.96x = 62,388,767.49
  5. Step 5: Solve for x
    x = 62,388,767.49/9,793.96
  6. Step 6: Final answer
    x = 6,370.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.