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Finding the Fourth Proportional to 9,420.64, 12,999.90 and 5,441.11

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Solution

The fourth proportional to 9,420.64, 12,999.90 and 5,441.11 is: 7,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.64 : 12,999.90 = 5,441.11 : x
  2. Step 2: Convert to fraction form
    9,420.64/12,999.90 = 5,441.11/x
  3. Step 3: Cross multiply
    9,420.64x = 12,999.90 × 5,441.11
  4. Step 4: Simplify right side
    9,420.64x = 70,733,885.89
  5. Step 5: Solve for x
    x = 70,733,885.89/9,420.64
  6. Step 6: Final answer
    x = 7,508.39

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Why These Related Problems?

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