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Finding the Fourth Proportional to 9,031.94, 12,464.67 and 5,053.74

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Solution

The fourth proportional to 9,031.94, 12,464.67 and 5,053.74 is: 6,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.94 : 12,464.67 = 5,053.74 : x
  2. Step 2: Convert to fraction form
    9,031.94/12,464.67 = 5,053.74/x
  3. Step 3: Cross multiply
    9,031.94x = 12,464.67 × 5,053.74
  4. Step 4: Simplify right side
    9,031.94x = 62,993,201.37
  5. Step 5: Solve for x
    x = 62,993,201.37/9,031.94
  6. Step 6: Final answer
    x = 6,974.49

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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.