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Finding the Fourth Proportional to 6,730.54, 9,292.38 and 4,341.40

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Solution

The fourth proportional to 6,730.54, 9,292.38 and 4,341.40 is: 5,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.54 : 9,292.38 = 4,341.40 : x
  2. Step 2: Convert to fraction form
    6,730.54/9,292.38 = 4,341.40/x
  3. Step 3: Cross multiply
    6,730.54x = 9,292.38 × 4,341.40
  4. Step 4: Simplify right side
    6,730.54x = 40,341,938.53
  5. Step 5: Solve for x
    x = 40,341,938.53/6,730.54
  6. Step 6: Final answer
    x = 5,993.86

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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.