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Finding the Fourth Proportional to 9,290.04, 12,826.26 and 5,757

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Solution

The fourth proportional to 9,290.04, 12,826.26 and 5,757 is: 7,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.04 : 12,826.26 = 5,757 : x
  2. Step 2: Convert to fraction form
    9,290.04/12,826.26 = 5,757/x
  3. Step 3: Cross multiply
    9,290.04x = 12,826.26 × 5,757
  4. Step 4: Simplify right side
    9,290.04x = 73,840,778.82
  5. Step 5: Solve for x
    x = 73,840,778.82/9,290.04
  6. Step 6: Final answer
    x = 7,948.38

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Why These Related Problems?

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