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Finding the Fourth Proportional to 9,002, 12,423.96 and 5,276

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Solution

The fourth proportional to 9,002, 12,423.96 and 5,276 is: 7,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002 : 12,423.96 = 5,276 : x
  2. Step 2: Convert to fraction form
    9,002/12,423.96 = 5,276/x
  3. Step 3: Cross multiply
    9,002x = 12,423.96 × 5,276
  4. Step 4: Simplify right side
    9,002x = 65,548,812.96
  5. Step 5: Solve for x
    x = 65,548,812.96/9,002
  6. Step 6: Final answer
    x = 7,281.58

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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.