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Finding the Fourth Proportional to 9,386, 14,079.96 and 3,230

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Solution

The fourth proportional to 9,386, 14,079.96 and 3,230 is: 4,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386 : 14,079.96 = 3,230 : x
  2. Step 2: Convert to fraction form
    9,386/14,079.96 = 3,230/x
  3. Step 3: Cross multiply
    9,386x = 14,079.96 × 3,230
  4. Step 4: Simplify right side
    9,386x = 45,478,270.80
  5. Step 5: Solve for x
    x = 45,478,270.80/9,386
  6. Step 6: Final answer
    x = 4,845.33

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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.