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Finding the Fourth Proportional to 36,971.42, 55,457.13 and 9,269.42

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Solution

The fourth proportional to 36,971.42, 55,457.13 and 9,269.42 is: 13,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.42 : 55,457.13 = 9,269.42 : x
  2. Step 2: Convert to fraction form
    36,971.42/55,457.13 = 9,269.42/x
  3. Step 3: Cross multiply
    36,971.42x = 55,457.13 × 9,269.42
  4. Step 4: Simplify right side
    36,971.42x = 514,055,429.96
  5. Step 5: Solve for x
    x = 514,055,429.96/36,971.42
  6. Step 6: Final answer
    x = 13,904.13

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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.