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Finding the Fourth Proportional to 9,405.42, 14,110.02 and 3,165.18

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Solution

The fourth proportional to 9,405.42, 14,110.02 and 3,165.18 is: 4,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.42 : 14,110.02 = 3,165.18 : x
  2. Step 2: Convert to fraction form
    9,405.42/14,110.02 = 3,165.18/x
  3. Step 3: Cross multiply
    9,405.42x = 14,110.02 × 3,165.18
  4. Step 4: Simplify right side
    9,405.42x = 44,660,753.10
  5. Step 5: Solve for x
    x = 44,660,753.10/9,405.42
  6. Step 6: Final answer
    x = 4,748.41

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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.