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Finding the Fourth Proportional to 7,011.42, 9,673.33 and 4,494.91

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Solution

The fourth proportional to 7,011.42, 9,673.33 and 4,494.91 is: 6,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.42 : 9,673.33 = 4,494.91 : x
  2. Step 2: Convert to fraction form
    7,011.42/9,673.33 = 4,494.91/x
  3. Step 3: Cross multiply
    7,011.42x = 9,673.33 × 4,494.91
  4. Step 4: Simplify right side
    7,011.42x = 43,480,747.75
  5. Step 5: Solve for x
    x = 43,480,747.75/7,011.42
  6. Step 6: Final answer
    x = 6,201.42

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