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Finding the Fourth Proportional to 9,118.38, 12,583.38 and 4,926.64

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Solution

The fourth proportional to 9,118.38, 12,583.38 and 4,926.64 is: 6,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.38 : 12,583.38 = 4,926.64 : x
  2. Step 2: Convert to fraction form
    9,118.38/12,583.38 = 4,926.64/x
  3. Step 3: Cross multiply
    9,118.38x = 12,583.38 × 4,926.64
  4. Step 4: Simplify right side
    9,118.38x = 61,993,783.24
  5. Step 5: Solve for x
    x = 61,993,783.24/9,118.38
  6. Step 6: Final answer
    x = 6,798.77

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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.