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Finding the Fourth Proportional to 9,617, 13,271.46 and 5,201

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Solution

The fourth proportional to 9,617, 13,271.46 and 5,201 is: 7,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 13,271.46 = 5,201 : x
  2. Step 2: Convert to fraction form
    9,617/13,271.46 = 5,201/x
  3. Step 3: Cross multiply
    9,617x = 13,271.46 × 5,201
  4. Step 4: Simplify right side
    9,617x = 69,024,863.46
  5. Step 5: Solve for x
    x = 69,024,863.46/9,617
  6. Step 6: Final answer
    x = 7,177.38

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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.