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Finding the Fourth Proportional to 10,404.19, 14,357.78 and 6,684.67

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Solution

The fourth proportional to 10,404.19, 14,357.78 and 6,684.67 is: 9,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.19 : 14,357.78 = 6,684.67 : x
  2. Step 2: Convert to fraction form
    10,404.19/14,357.78 = 6,684.67/x
  3. Step 3: Cross multiply
    10,404.19x = 14,357.78 × 6,684.67
  4. Step 4: Simplify right side
    10,404.19x = 95,977,021.23
  5. Step 5: Solve for x
    x = 95,977,021.23/10,404.19
  6. Step 6: Final answer
    x = 9,224.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.