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Finding the Fourth Proportional to 9,602.22, 14,405.30 and 5,444.09

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Solution

The fourth proportional to 9,602.22, 14,405.30 and 5,444.09 is: 8,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.22 : 14,405.30 = 5,444.09 : x
  2. Step 2: Convert to fraction form
    9,602.22/14,405.30 = 5,444.09/x
  3. Step 3: Cross multiply
    9,602.22x = 14,405.30 × 5,444.09
  4. Step 4: Simplify right side
    9,602.22x = 78,423,650.43
  5. Step 5: Solve for x
    x = 78,423,650.43/9,602.22
  6. Step 6: Final answer
    x = 8,167.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.