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Finding the Fourth Proportional to 9,181.08, 12,657.69 and 7,299

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Solution

The fourth proportional to 9,181.08, 12,657.69 and 7,299 is: 10,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.08 : 12,657.69 = 7,299 : x
  2. Step 2: Convert to fraction form
    9,181.08/12,657.69 = 7,299/x
  3. Step 3: Cross multiply
    9,181.08x = 12,657.69 × 7,299
  4. Step 4: Simplify right side
    9,181.08x = 92,388,479.31
  5. Step 5: Solve for x
    x = 92,388,479.31/9,181.08
  6. Step 6: Final answer
    x = 10,062.92

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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.