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Finding the Fourth Proportional to 9,767.49, 13,475.40 and 7,221.36

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Solution

The fourth proportional to 9,767.49, 13,475.40 and 7,221.36 is: 9,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.49 : 13,475.40 = 7,221.36 : x
  2. Step 2: Convert to fraction form
    9,767.49/13,475.40 = 7,221.36/x
  3. Step 3: Cross multiply
    9,767.49x = 13,475.40 × 7,221.36
  4. Step 4: Simplify right side
    9,767.49x = 97,310,714.54
  5. Step 5: Solve for x
    x = 97,310,714.54/9,767.49
  6. Step 6: Final answer
    x = 9,962.71

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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.