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Finding the Fourth Proportional to 7,034.37, 9,709.35 and 4,380.21

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Solution

The fourth proportional to 7,034.37, 9,709.35 and 4,380.21 is: 6,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.37 : 9,709.35 = 4,380.21 : x
  2. Step 2: Convert to fraction form
    7,034.37/9,709.35 = 4,380.21/x
  3. Step 3: Cross multiply
    7,034.37x = 9,709.35 × 4,380.21
  4. Step 4: Simplify right side
    7,034.37x = 42,528,991.96
  5. Step 5: Solve for x
    x = 42,528,991.96/7,034.37
  6. Step 6: Final answer
    x = 6,045.88

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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.