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Finding the Fourth Proportional to 10,438.85, 14,408.33 and 6,457.64

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Solution

The fourth proportional to 10,438.85, 14,408.33 and 6,457.64 is: 8,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.85 : 14,408.33 = 6,457.64 : x
  2. Step 2: Convert to fraction form
    10,438.85/14,408.33 = 6,457.64/x
  3. Step 3: Cross multiply
    10,438.85x = 14,408.33 × 6,457.64
  4. Step 4: Simplify right side
    10,438.85x = 93,043,703.81
  5. Step 5: Solve for x
    x = 93,043,703.81/10,438.85
  6. Step 6: Final answer
    x = 8,913.22

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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.