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Finding the Fourth Proportional to 39,209.82, 58,815 and 9,627.90

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Solution

The fourth proportional to 39,209.82, 58,815 and 9,627.90 is: 14,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,209.82 : 58,815 = 9,627.90 : x
  2. Step 2: Convert to fraction form
    39,209.82/58,815 = 9,627.90/x
  3. Step 3: Cross multiply
    39,209.82x = 58,815 × 9,627.90
  4. Step 4: Simplify right side
    39,209.82x = 566,264,938.50
  5. Step 5: Solve for x
    x = 566,264,938.50/39,209.82
  6. Step 6: Final answer
    x = 14,441.92

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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.