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Finding the Fourth Proportional to 10,466.51, 14,438.70 and 6,932.67

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Solution

The fourth proportional to 10,466.51, 14,438.70 and 6,932.67 is: 9,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.51 : 14,438.70 = 6,932.67 : x
  2. Step 2: Convert to fraction form
    10,466.51/14,438.70 = 6,932.67/x
  3. Step 3: Cross multiply
    10,466.51x = 14,438.70 × 6,932.67
  4. Step 4: Simplify right side
    10,466.51x = 100,098,742.33
  5. Step 5: Solve for x
    x = 100,098,742.33/10,466.51
  6. Step 6: Final answer
    x = 9,563.72

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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.