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Finding the Fourth Proportional to 9,094.68, 12,552.30 and 6,442.20

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Solution

The fourth proportional to 9,094.68, 12,552.30 and 6,442.20 is: 8,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.68 : 12,552.30 = 6,442.20 : x
  2. Step 2: Convert to fraction form
    9,094.68/12,552.30 = 6,442.20/x
  3. Step 3: Cross multiply
    9,094.68x = 12,552.30 × 6,442.20
  4. Step 4: Simplify right side
    9,094.68x = 80,864,427.06
  5. Step 5: Solve for x
    x = 80,864,427.06/9,094.68
  6. Step 6: Final answer
    x = 8,891.40

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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.