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Finding the Fourth Proportional to 9,305.84, 12,842.12 and 5,114.08

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Solution

The fourth proportional to 9,305.84, 12,842.12 and 5,114.08 is: 7,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.84 : 12,842.12 = 5,114.08 : x
  2. Step 2: Convert to fraction form
    9,305.84/12,842.12 = 5,114.08/x
  3. Step 3: Cross multiply
    9,305.84x = 12,842.12 × 5,114.08
  4. Step 4: Simplify right side
    9,305.84x = 65,675,629.05
  5. Step 5: Solve for x
    x = 65,675,629.05/9,305.84
  6. Step 6: Final answer
    x = 7,057.46

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1.5x scale

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.