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Finding the Fourth Proportional to 10,432.70, 14,397.49 and 5,956.37

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Solution

The fourth proportional to 10,432.70, 14,397.49 and 5,956.37 is: 8,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.70 : 14,397.49 = 5,956.37 : x
  2. Step 2: Convert to fraction form
    10,432.70/14,397.49 = 5,956.37/x
  3. Step 3: Cross multiply
    10,432.70x = 14,397.49 × 5,956.37
  4. Step 4: Simplify right side
    10,432.70x = 85,756,762.62
  5. Step 5: Solve for x
    x = 85,756,762.62/10,432.70
  6. Step 6: Final answer
    x = 8,220.00

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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.