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Finding the Fourth Proportional to 39,178.27, 58,767 and 9,596.26

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Solution

The fourth proportional to 39,178.27, 58,767 and 9,596.26 is: 14,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178.27 : 58,767 = 9,596.26 : x
  2. Step 2: Convert to fraction form
    39,178.27/58,767 = 9,596.26/x
  3. Step 3: Cross multiply
    39,178.27x = 58,767 × 9,596.26
  4. Step 4: Simplify right side
    39,178.27x = 563,943,411.42
  5. Step 5: Solve for x
    x = 563,943,411.42/39,178.27
  6. Step 6: Final answer
    x = 14,394.29

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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.