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Finding the Fourth Proportional to 9,201.18, 12,697.62 and 5,009.46

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Solution

The fourth proportional to 9,201.18, 12,697.62 and 5,009.46 is: 6,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.18 : 12,697.62 = 5,009.46 : x
  2. Step 2: Convert to fraction form
    9,201.18/12,697.62 = 5,009.46/x
  3. Step 3: Cross multiply
    9,201.18x = 12,697.62 × 5,009.46
  4. Step 4: Simplify right side
    9,201.18x = 63,608,219.49
  5. Step 5: Solve for x
    x = 63,608,219.49/9,201.18
  6. Step 6: Final answer
    x = 6,913.05

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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.