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Finding the Fourth Proportional to 10,400.67, 14,352.93 and 6,674.67

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Solution

The fourth proportional to 10,400.67, 14,352.93 and 6,674.67 is: 9,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.67 : 14,352.93 = 6,674.67 : x
  2. Step 2: Convert to fraction form
    10,400.67/14,352.93 = 6,674.67/x
  3. Step 3: Cross multiply
    10,400.67x = 14,352.93 × 6,674.67
  4. Step 4: Simplify right side
    10,400.67x = 95,801,071.28
  5. Step 5: Solve for x
    x = 95,801,071.28/10,400.67
  6. Step 6: Final answer
    x = 9,211.05

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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.