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Finding the Fourth Proportional to 9,501.90, 13,116.32 and 8,505.45

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Solution

The fourth proportional to 9,501.90, 13,116.32 and 8,505.45 is: 11,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.90 : 13,116.32 = 8,505.45 : x
  2. Step 2: Convert to fraction form
    9,501.90/13,116.32 = 8,505.45/x
  3. Step 3: Cross multiply
    9,501.90x = 13,116.32 × 8,505.45
  4. Step 4: Simplify right side
    9,501.90x = 111,560,161.42
  5. Step 5: Solve for x
    x = 111,560,161.42/9,501.90
  6. Step 6: Final answer
    x = 11,740.83

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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.