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Finding the Fourth Proportional to 6,434.60, 9,644.70 and 3,313.40

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Solution

The fourth proportional to 6,434.60, 9,644.70 and 3,313.40 is: 4,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.60 : 9,644.70 = 3,313.40 : x
  2. Step 2: Convert to fraction form
    6,434.60/9,644.70 = 3,313.40/x
  3. Step 3: Cross multiply
    6,434.60x = 9,644.70 × 3,313.40
  4. Step 4: Simplify right side
    6,434.60x = 31,956,748.98
  5. Step 5: Solve for x
    x = 31,956,748.98/6,434.60
  6. Step 6: Final answer
    x = 4,966.39

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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.