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Finding the Fourth Proportional to 6,434.64, 9,651.96 and 4,140.72

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Solution

The fourth proportional to 6,434.64, 9,651.96 and 4,140.72 is: 6,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.64 : 9,651.96 = 4,140.72 : x
  2. Step 2: Convert to fraction form
    6,434.64/9,651.96 = 4,140.72/x
  3. Step 3: Cross multiply
    6,434.64x = 9,651.96 × 4,140.72
  4. Step 4: Simplify right side
    6,434.64x = 39,966,063.81
  5. Step 5: Solve for x
    x = 39,966,063.81/6,434.64
  6. Step 6: Final answer
    x = 6,211.08

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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.