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Finding the Fourth Proportional to 9,553.68, 14,325.12 and 2,978.64

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Solution

The fourth proportional to 9,553.68, 14,325.12 and 2,978.64 is: 4,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.68 : 14,325.12 = 2,978.64 : x
  2. Step 2: Convert to fraction form
    9,553.68/14,325.12 = 2,978.64/x
  3. Step 3: Cross multiply
    9,553.68x = 14,325.12 × 2,978.64
  4. Step 4: Simplify right side
    9,553.68x = 42,669,375.44
  5. Step 5: Solve for x
    x = 42,669,375.44/9,553.68
  6. Step 6: Final answer
    x = 4,466.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.