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Finding the Fourth Proportional to 9,584.65, 14,379.91 and 4,907.94

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Solution

The fourth proportional to 9,584.65, 14,379.91 and 4,907.94 is: 7,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.65 : 14,379.91 = 4,907.94 : x
  2. Step 2: Convert to fraction form
    9,584.65/14,379.91 = 4,907.94/x
  3. Step 3: Cross multiply
    9,584.65x = 14,379.91 × 4,907.94
  4. Step 4: Simplify right side
    9,584.65x = 70,575,723.22
  5. Step 5: Solve for x
    x = 70,575,723.22/9,584.65
  6. Step 6: Final answer
    x = 7,363.42

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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.