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Finding the Fourth Proportional to 9,062.42, 12,507.84 and 5,913.14

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Solution

The fourth proportional to 9,062.42, 12,507.84 and 5,913.14 is: 8,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.42 : 12,507.84 = 5,913.14 : x
  2. Step 2: Convert to fraction form
    9,062.42/12,507.84 = 5,913.14/x
  3. Step 3: Cross multiply
    9,062.42x = 12,507.84 × 5,913.14
  4. Step 4: Simplify right side
    9,062.42x = 73,960,546.48
  5. Step 5: Solve for x
    x = 73,960,546.48/9,062.42
  6. Step 6: Final answer
    x = 8,161.24

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Double scale
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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.