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Finding the Fourth Proportional to 9,130.67, 13,671.30 and 4,738.90

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Solution

The fourth proportional to 9,130.67, 13,671.30 and 4,738.90 is: 7,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.67 : 13,671.30 = 4,738.90 : x
  2. Step 2: Convert to fraction form
    9,130.67/13,671.30 = 4,738.90/x
  3. Step 3: Cross multiply
    9,130.67x = 13,671.30 × 4,738.90
  4. Step 4: Simplify right side
    9,130.67x = 64,786,923.57
  5. Step 5: Solve for x
    x = 64,786,923.57/9,130.67
  6. Step 6: Final answer
    x = 7,095.53

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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.