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Finding the Fourth Proportional to 9,180.84, 13,774.35 and 3,915.64

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Solution

The fourth proportional to 9,180.84, 13,774.35 and 3,915.64 is: 5,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.84 : 13,774.35 = 3,915.64 : x
  2. Step 2: Convert to fraction form
    9,180.84/13,774.35 = 3,915.64/x
  3. Step 3: Cross multiply
    9,180.84x = 13,774.35 × 3,915.64
  4. Step 4: Simplify right side
    9,180.84x = 53,935,427.74
  5. Step 5: Solve for x
    x = 53,935,427.74/9,180.84
  6. Step 6: Final answer
    x = 5,874.78

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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.