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Finding the Fourth Proportional to 9,460.65, 12,961.16 and 9,105.95

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Solution

The fourth proportional to 9,460.65, 12,961.16 and 9,105.95 is: 12,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.65 : 12,961.16 = 9,105.95 : x
  2. Step 2: Convert to fraction form
    9,460.65/12,961.16 = 9,105.95/x
  3. Step 3: Cross multiply
    9,460.65x = 12,961.16 × 9,105.95
  4. Step 4: Simplify right side
    9,460.65x = 118,023,674.90
  5. Step 5: Solve for x
    x = 118,023,674.90/9,460.65
  6. Step 6: Final answer
    x = 12,475.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.