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Finding the Fourth Proportional to 9,624.14, 14,415.14 and 5,719.94

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Solution

The fourth proportional to 9,624.14, 14,415.14 and 5,719.94 is: 8,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.14 : 14,415.14 = 5,719.94 : x
  2. Step 2: Convert to fraction form
    9,624.14/14,415.14 = 5,719.94/x
  3. Step 3: Cross multiply
    9,624.14x = 14,415.14 × 5,719.94
  4. Step 4: Simplify right side
    9,624.14x = 82,453,735.89
  5. Step 5: Solve for x
    x = 82,453,735.89/9,624.14
  6. Step 6: Final answer
    x = 8,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.