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Finding the Fourth Proportional to 9,125.39, 13,690.14 and 3,282

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Solution

The fourth proportional to 9,125.39, 13,690.14 and 3,282 is: 4,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.39 : 13,690.14 = 3,282 : x
  2. Step 2: Convert to fraction form
    9,125.39/13,690.14 = 3,282/x
  3. Step 3: Cross multiply
    9,125.39x = 13,690.14 × 3,282
  4. Step 4: Simplify right side
    9,125.39x = 44,931,039.48
  5. Step 5: Solve for x
    x = 44,931,039.48/9,125.39
  6. Step 6: Final answer
    x = 4,923.74

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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.