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Finding the Fourth Proportional to 9,007.88, 12,436.58 and 5,873

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Solution

The fourth proportional to 9,007.88, 12,436.58 and 5,873 is: 8,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.88 : 12,436.58 = 5,873 : x
  2. Step 2: Convert to fraction form
    9,007.88/12,436.58 = 5,873/x
  3. Step 3: Cross multiply
    9,007.88x = 12,436.58 × 5,873
  4. Step 4: Simplify right side
    9,007.88x = 73,040,034.34
  5. Step 5: Solve for x
    x = 73,040,034.34/9,007.88
  6. Step 6: Final answer
    x = 8,108.46

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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.