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Finding the Fourth Proportional to 9,624.39, 14,437.50 and 3,779.64

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Solution

The fourth proportional to 9,624.39, 14,437.50 and 3,779.64 is: 5,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.39 : 14,437.50 = 3,779.64 : x
  2. Step 2: Convert to fraction form
    9,624.39/14,437.50 = 3,779.64/x
  3. Step 3: Cross multiply
    9,624.39x = 14,437.50 × 3,779.64
  4. Step 4: Simplify right side
    9,624.39x = 54,568,552.50
  5. Step 5: Solve for x
    x = 54,568,552.50/9,624.39
  6. Step 6: Final answer
    x = 5,669.82

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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.