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Finding the Fourth Proportional to 10,379.70, 15,575.70 and 9,722.96

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Solution

The fourth proportional to 10,379.70, 15,575.70 and 9,722.96 is: 14,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.70 : 15,575.70 = 9,722.96 : x
  2. Step 2: Convert to fraction form
    10,379.70/15,575.70 = 9,722.96/x
  3. Step 3: Cross multiply
    10,379.70x = 15,575.70 × 9,722.96
  4. Step 4: Simplify right side
    10,379.70x = 151,441,866.65
  5. Step 5: Solve for x
    x = 151,441,866.65/10,379.70
  6. Step 6: Final answer
    x = 14,590.20

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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.