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Finding the Fourth Proportional to 6,970.32, 9,614.52 and 4,453.20

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Solution

The fourth proportional to 6,970.32, 9,614.52 and 4,453.20 is: 6,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.32 : 9,614.52 = 4,453.20 : x
  2. Step 2: Convert to fraction form
    6,970.32/9,614.52 = 4,453.20/x
  3. Step 3: Cross multiply
    6,970.32x = 9,614.52 × 4,453.20
  4. Step 4: Simplify right side
    6,970.32x = 42,815,380.46
  5. Step 5: Solve for x
    x = 42,815,380.46/6,970.32
  6. Step 6: Final answer
    x = 6,142.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.