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Finding the Fourth Proportional to 9,733.42, 14,602.26 and 3,160.27

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Solution

The fourth proportional to 9,733.42, 14,602.26 and 3,160.27 is: 4,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.42 : 14,602.26 = 3,160.27 : x
  2. Step 2: Convert to fraction form
    9,733.42/14,602.26 = 3,160.27/x
  3. Step 3: Cross multiply
    9,733.42x = 14,602.26 × 3,160.27
  4. Step 4: Simplify right side
    9,733.42x = 46,147,084.21
  5. Step 5: Solve for x
    x = 46,147,084.21/9,733.42
  6. Step 6: Final answer
    x = 4,741.10

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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.