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Finding the Fourth Proportional to 9,375.96, 14,048.14 and 5,666.88

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Solution

The fourth proportional to 9,375.96, 14,048.14 and 5,666.88 is: 8,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.96 : 14,048.14 = 5,666.88 : x
  2. Step 2: Convert to fraction form
    9,375.96/14,048.14 = 5,666.88/x
  3. Step 3: Cross multiply
    9,375.96x = 14,048.14 × 5,666.88
  4. Step 4: Simplify right side
    9,375.96x = 79,609,123.60
  5. Step 5: Solve for x
    x = 79,609,123.60/9,375.96
  6. Step 6: Final answer
    x = 8,490.77

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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.