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Finding the Fourth Proportional to 6,341.32, 9,507.48 and 1,956.34

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Solution

The fourth proportional to 6,341.32, 9,507.48 and 1,956.34 is: 2,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.32 : 9,507.48 = 1,956.34 : x
  2. Step 2: Convert to fraction form
    6,341.32/9,507.48 = 1,956.34/x
  3. Step 3: Cross multiply
    6,341.32x = 9,507.48 × 1,956.34
  4. Step 4: Simplify right side
    6,341.32x = 18,599,863.42
  5. Step 5: Solve for x
    x = 18,599,863.42/6,341.32
  6. Step 6: Final answer
    x = 2,933.12

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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.