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Finding the Fourth Proportional to 9,001, 12,422.58 and 5,275

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Solution

The fourth proportional to 9,001, 12,422.58 and 5,275 is: 7,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001 : 12,422.58 = 5,275 : x
  2. Step 2: Convert to fraction form
    9,001/12,422.58 = 5,275/x
  3. Step 3: Cross multiply
    9,001x = 12,422.58 × 5,275
  4. Step 4: Simplify right side
    9,001x = 65,529,109.50
  5. Step 5: Solve for x
    x = 65,529,109.50/9,001
  6. Step 6: Final answer
    x = 7,280.20

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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.