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Finding the Fourth Proportional to 9,465.75, 13,063.23 and 5,274

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Solution

The fourth proportional to 9,465.75, 13,063.23 and 5,274 is: 7,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.75 : 13,063.23 = 5,274 : x
  2. Step 2: Convert to fraction form
    9,465.75/13,063.23 = 5,274/x
  3. Step 3: Cross multiply
    9,465.75x = 13,063.23 × 5,274
  4. Step 4: Simplify right side
    9,465.75x = 68,895,475.02
  5. Step 5: Solve for x
    x = 68,895,475.02/9,465.75
  6. Step 6: Final answer
    x = 7,278.40

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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.