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Finding the Fourth Proportional to 9,160.74, 13,731.84 and 3,618

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Solution

The fourth proportional to 9,160.74, 13,731.84 and 3,618 is: 5,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.74 : 13,731.84 = 3,618 : x
  2. Step 2: Convert to fraction form
    9,160.74/13,731.84 = 3,618/x
  3. Step 3: Cross multiply
    9,160.74x = 13,731.84 × 3,618
  4. Step 4: Simplify right side
    9,160.74x = 49,681,797.12
  5. Step 5: Solve for x
    x = 49,681,797.12/9,160.74
  6. Step 6: Final answer
    x = 5,423.34

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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.