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Finding the Fourth Proportional to 9,385.56, 14,050.29 and 5,676.57

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Solution

The fourth proportional to 9,385.56, 14,050.29 and 5,676.57 is: 8,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.56 : 14,050.29 = 5,676.57 : x
  2. Step 2: Convert to fraction form
    9,385.56/14,050.29 = 5,676.57/x
  3. Step 3: Cross multiply
    9,385.56x = 14,050.29 × 5,676.57
  4. Step 4: Simplify right side
    9,385.56x = 79,757,454.71
  5. Step 5: Solve for x
    x = 79,757,454.71/9,385.56
  6. Step 6: Final answer
    x = 8,497.89

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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.