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Finding the Fourth Proportional to 6,353.64, 9,527.04 and 1,969.92

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Solution

The fourth proportional to 6,353.64, 9,527.04 and 1,969.92 is: 2,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.64 : 9,527.04 = 1,969.92 : x
  2. Step 2: Convert to fraction form
    6,353.64/9,527.04 = 1,969.92/x
  3. Step 3: Cross multiply
    6,353.64x = 9,527.04 × 1,969.92
  4. Step 4: Simplify right side
    6,353.64x = 18,767,506.64
  5. Step 5: Solve for x
    x = 18,767,506.64/6,353.64
  6. Step 6: Final answer
    x = 2,953.82

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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.