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Finding the Fourth Proportional to 9,120.64, 13,683.28 and 2,546.84

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Solution

The fourth proportional to 9,120.64, 13,683.28 and 2,546.84 is: 3,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.64 : 13,683.28 = 2,546.84 : x
  2. Step 2: Convert to fraction form
    9,120.64/13,683.28 = 2,546.84/x
  3. Step 3: Cross multiply
    9,120.64x = 13,683.28 × 2,546.84
  4. Step 4: Simplify right side
    9,120.64x = 34,849,124.84
  5. Step 5: Solve for x
    x = 34,849,124.84/9,120.64
  6. Step 6: Final answer
    x = 3,820.91

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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.