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Finding the Fourth Proportional to 9,110.70, 13,672.80 and 4,725.90

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Solution

The fourth proportional to 9,110.70, 13,672.80 and 4,725.90 is: 7,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.70 : 13,672.80 = 4,725.90 : x
  2. Step 2: Convert to fraction form
    9,110.70/13,672.80 = 4,725.90/x
  3. Step 3: Cross multiply
    9,110.70x = 13,672.80 × 4,725.90
  4. Step 4: Simplify right side
    9,110.70x = 64,616,285.52
  5. Step 5: Solve for x
    x = 64,616,285.52/9,110.70
  6. Step 6: Final answer
    x = 7,092.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.