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Finding the Fourth Proportional to 9,154.68, 12,634.74 and 6,645.06

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Solution

The fourth proportional to 9,154.68, 12,634.74 and 6,645.06 is: 9,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.68 : 12,634.74 = 6,645.06 : x
  2. Step 2: Convert to fraction form
    9,154.68/12,634.74 = 6,645.06/x
  3. Step 3: Cross multiply
    9,154.68x = 12,634.74 × 6,645.06
  4. Step 4: Simplify right side
    9,154.68x = 83,958,605.38
  5. Step 5: Solve for x
    x = 83,958,605.38/9,154.68
  6. Step 6: Final answer
    x = 9,171.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.