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Finding the Fourth Proportional to 10,423.35, 14,384.34 and 5,947.70

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Solution

The fourth proportional to 10,423.35, 14,384.34 and 5,947.70 is: 8,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.35 : 14,384.34 = 5,947.70 : x
  2. Step 2: Convert to fraction form
    10,423.35/14,384.34 = 5,947.70/x
  3. Step 3: Cross multiply
    10,423.35x = 14,384.34 × 5,947.70
  4. Step 4: Simplify right side
    10,423.35x = 85,553,667.10
  5. Step 5: Solve for x
    x = 85,553,667.10/10,423.35
  6. Step 6: Final answer
    x = 8,207.89

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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.