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Finding the Fourth Proportional to 9,795.49, 14,691.49 and 4,457.42

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Solution

The fourth proportional to 9,795.49, 14,691.49 and 4,457.42 is: 6,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.49 : 14,691.49 = 4,457.42 : x
  2. Step 2: Convert to fraction form
    9,795.49/14,691.49 = 4,457.42/x
  3. Step 3: Cross multiply
    9,795.49x = 14,691.49 × 4,457.42
  4. Step 4: Simplify right side
    9,795.49x = 65,486,111.85
  5. Step 5: Solve for x
    x = 65,486,111.85/9,795.49
  6. Step 6: Final answer
    x = 6,685.33

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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.