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Finding the Fourth Proportional to 9,003.33, 12,424.01 and 5,646

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Solution

The fourth proportional to 9,003.33, 12,424.01 and 5,646 is: 7,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.33 : 12,424.01 = 5,646 : x
  2. Step 2: Convert to fraction form
    9,003.33/12,424.01 = 5,646/x
  3. Step 3: Cross multiply
    9,003.33x = 12,424.01 × 5,646
  4. Step 4: Simplify right side
    9,003.33x = 70,145,932.23
  5. Step 5: Solve for x
    x = 70,145,932.23/9,003.33
  6. Step 6: Final answer
    x = 7,791.11

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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.