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Finding the Fourth Proportional to 9,476.82, 14,215.23 and 3,316.50

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Solution

The fourth proportional to 9,476.82, 14,215.23 and 3,316.50 is: 4,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.82 : 14,215.23 = 3,316.50 : x
  2. Step 2: Convert to fraction form
    9,476.82/14,215.23 = 3,316.50/x
  3. Step 3: Cross multiply
    9,476.82x = 14,215.23 × 3,316.50
  4. Step 4: Simplify right side
    9,476.82x = 47,144,810.30
  5. Step 5: Solve for x
    x = 47,144,810.30/9,476.82
  6. Step 6: Final answer
    x = 4,974.75

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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.