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Finding the Fourth Proportional to 7,203.96, 9,939.60 and 4,842

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Solution

The fourth proportional to 7,203.96, 9,939.60 and 4,842 is: 6,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.96 : 9,939.60 = 4,842 : x
  2. Step 2: Convert to fraction form
    7,203.96/9,939.60 = 4,842/x
  3. Step 3: Cross multiply
    7,203.96x = 9,939.60 × 4,842
  4. Step 4: Simplify right side
    7,203.96x = 48,127,543.20
  5. Step 5: Solve for x
    x = 48,127,543.20/7,203.96
  6. Step 6: Final answer
    x = 6,680.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.