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Finding the Fourth Proportional to 9,184.61, 13,780.11 and 3,639.66

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Solution

The fourth proportional to 9,184.61, 13,780.11 and 3,639.66 is: 5,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.61 : 13,780.11 = 3,639.66 : x
  2. Step 2: Convert to fraction form
    9,184.61/13,780.11 = 3,639.66/x
  3. Step 3: Cross multiply
    9,184.61x = 13,780.11 × 3,639.66
  4. Step 4: Simplify right side
    9,184.61x = 50,154,915.16
  5. Step 5: Solve for x
    x = 50,154,915.16/9,184.61
  6. Step 6: Final answer
    x = 5,460.76

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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.