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Finding the Fourth Proportional to 9,201.42, 12,698.10 and 5,009.67

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Solution

The fourth proportional to 9,201.42, 12,698.10 and 5,009.67 is: 6,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.42 : 12,698.10 = 5,009.67 : x
  2. Step 2: Convert to fraction form
    9,201.42/12,698.10 = 5,009.67/x
  3. Step 3: Cross multiply
    9,201.42x = 12,698.10 × 5,009.67
  4. Step 4: Simplify right side
    9,201.42x = 63,613,290.63
  5. Step 5: Solve for x
    x = 63,613,290.63/9,201.42
  6. Step 6: Final answer
    x = 6,913.42

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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.