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Finding the Fourth Proportional to 9,482.20, 14,231.40 and 4,225.30

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Solution

The fourth proportional to 9,482.20, 14,231.40 and 4,225.30 is: 6,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.20 : 14,231.40 = 4,225.30 : x
  2. Step 2: Convert to fraction form
    9,482.20/14,231.40 = 4,225.30/x
  3. Step 3: Cross multiply
    9,482.20x = 14,231.40 × 4,225.30
  4. Step 4: Simplify right side
    9,482.20x = 60,131,934.42
  5. Step 5: Solve for x
    x = 60,131,934.42/9,482.20
  6. Step 6: Final answer
    x = 6,341.56

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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.