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Finding the Fourth Proportional to 9,153.86, 13,730.76 and 3,310.46

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Solution

The fourth proportional to 9,153.86, 13,730.76 and 3,310.46 is: 4,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.86 : 13,730.76 = 3,310.46 : x
  2. Step 2: Convert to fraction form
    9,153.86/13,730.76 = 3,310.46/x
  3. Step 3: Cross multiply
    9,153.86x = 13,730.76 × 3,310.46
  4. Step 4: Simplify right side
    9,153.86x = 45,455,131.75
  5. Step 5: Solve for x
    x = 45,455,131.75/9,153.86
  6. Step 6: Final answer
    x = 4,965.68

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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.