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Finding the Fourth Proportional to 26,972.29, 40,477.07 and 9,442

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Solution

The fourth proportional to 26,972.29, 40,477.07 and 9,442 is: 14,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972.29 : 40,477.07 = 9,442 : x
  2. Step 2: Convert to fraction form
    26,972.29/40,477.07 = 9,442/x
  3. Step 3: Cross multiply
    26,972.29x = 40,477.07 × 9,442
  4. Step 4: Simplify right side
    26,972.29x = 382,184,494.94
  5. Step 5: Solve for x
    x = 382,184,494.94/26,972.29
  6. Step 6: Final answer
    x = 14,169.52

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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.