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Finding the Fourth Proportional to 9,776.45, 13,486.54 and 6,185.38

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Solution

The fourth proportional to 9,776.45, 13,486.54 and 6,185.38 is: 8,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.45 : 13,486.54 = 6,185.38 : x
  2. Step 2: Convert to fraction form
    9,776.45/13,486.54 = 6,185.38/x
  3. Step 3: Cross multiply
    9,776.45x = 13,486.54 × 6,185.38
  4. Step 4: Simplify right side
    9,776.45x = 83,419,341.07
  5. Step 5: Solve for x
    x = 83,419,341.07/9,776.45
  6. Step 6: Final answer
    x = 8,532.69

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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.