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Finding the Fourth Proportional to 9,285.45, 13,934.97 and 5,780.58

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Solution

The fourth proportional to 9,285.45, 13,934.97 and 5,780.58 is: 8,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.45 : 13,934.97 = 5,780.58 : x
  2. Step 2: Convert to fraction form
    9,285.45/13,934.97 = 5,780.58/x
  3. Step 3: Cross multiply
    9,285.45x = 13,934.97 × 5,780.58
  4. Step 4: Simplify right side
    9,285.45x = 80,552,208.88
  5. Step 5: Solve for x
    x = 80,552,208.88/9,285.45
  6. Step 6: Final answer
    x = 8,675.10

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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.