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Finding the Fourth Proportional to 6,315.60, 9,473.52 and 2,156.56

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Solution

The fourth proportional to 6,315.60, 9,473.52 and 2,156.56 is: 3,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.60 : 9,473.52 = 2,156.56 : x
  2. Step 2: Convert to fraction form
    6,315.60/9,473.52 = 2,156.56/x
  3. Step 3: Cross multiply
    6,315.60x = 9,473.52 × 2,156.56
  4. Step 4: Simplify right side
    6,315.60x = 20,430,214.29
  5. Step 5: Solve for x
    x = 20,430,214.29/6,315.60
  6. Step 6: Final answer
    x = 3,234.88

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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.