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Finding the Fourth Proportional to 9,775.44, 14,666.04 and 3,618

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Solution

The fourth proportional to 9,775.44, 14,666.04 and 3,618 is: 5,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.44 : 14,666.04 = 3,618 : x
  2. Step 2: Convert to fraction form
    9,775.44/14,666.04 = 3,618/x
  3. Step 3: Cross multiply
    9,775.44x = 14,666.04 × 3,618
  4. Step 4: Simplify right side
    9,775.44x = 53,061,732.72
  5. Step 5: Solve for x
    x = 53,061,732.72/9,775.44
  6. Step 6: Final answer
    x = 5,428.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.