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Finding the Fourth Proportional to 9,341, 12,890.58 and 5,615

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Solution

The fourth proportional to 9,341, 12,890.58 and 5,615 is: 7,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341 : 12,890.58 = 5,615 : x
  2. Step 2: Convert to fraction form
    9,341/12,890.58 = 5,615/x
  3. Step 3: Cross multiply
    9,341x = 12,890.58 × 5,615
  4. Step 4: Simplify right side
    9,341x = 72,380,606.70
  5. Step 5: Solve for x
    x = 72,380,606.70/9,341
  6. Step 6: Final answer
    x = 7,748.70

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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.