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Finding the Fourth Proportional to 6,315.92, 9,482.12 and 4,245.20

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Solution

The fourth proportional to 6,315.92, 9,482.12 and 4,245.20 is: 6,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.92 : 9,482.12 = 4,245.20 : x
  2. Step 2: Convert to fraction form
    6,315.92/9,482.12 = 4,245.20/x
  3. Step 3: Cross multiply
    6,315.92x = 9,482.12 × 4,245.20
  4. Step 4: Simplify right side
    6,315.92x = 40,253,495.82
  5. Step 5: Solve for x
    x = 40,253,495.82/6,315.92
  6. Step 6: Final answer
    x = 6,373.34

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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.