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Finding the Fourth Proportional to 9,305.17, 13,960.04 and 4,627.40

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Solution

The fourth proportional to 9,305.17, 13,960.04 and 4,627.40 is: 6,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.17 : 13,960.04 = 4,627.40 : x
  2. Step 2: Convert to fraction form
    9,305.17/13,960.04 = 4,627.40/x
  3. Step 3: Cross multiply
    9,305.17x = 13,960.04 × 4,627.40
  4. Step 4: Simplify right side
    9,305.17x = 64,598,596.16
  5. Step 5: Solve for x
    x = 64,598,596.16/9,305.17
  6. Step 6: Final answer
    x = 6,942.23

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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.