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Finding the Fourth Proportional to 9,630.32, 14,433.84 and 6,300.24

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Solution

The fourth proportional to 9,630.32, 14,433.84 and 6,300.24 is: 9,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.32 : 14,433.84 = 6,300.24 : x
  2. Step 2: Convert to fraction form
    9,630.32/14,433.84 = 6,300.24/x
  3. Step 3: Cross multiply
    9,630.32x = 14,433.84 × 6,300.24
  4. Step 4: Simplify right side
    9,630.32x = 90,936,656.12
  5. Step 5: Solve for x
    x = 90,936,656.12/9,630.32
  6. Step 6: Final answer
    x = 9,442.75

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