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Finding the Fourth Proportional to 10,419.64, 14,362.02 and 6,432.04

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Solution

The fourth proportional to 10,419.64, 14,362.02 and 6,432.04 is: 8,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.64 : 14,362.02 = 6,432.04 : x
  2. Step 2: Convert to fraction form
    10,419.64/14,362.02 = 6,432.04/x
  3. Step 3: Cross multiply
    10,419.64x = 14,362.02 × 6,432.04
  4. Step 4: Simplify right side
    10,419.64x = 92,377,087.12
  5. Step 5: Solve for x
    x = 92,377,087.12/10,419.64
  6. Step 6: Final answer
    x = 8,865.67

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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.