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Finding the Fourth Proportional to 9,510.84, 13,131.12 and 8,514.40

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Solution

The fourth proportional to 9,510.84, 13,131.12 and 8,514.40 is: 11,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.84 : 13,131.12 = 8,514.40 : x
  2. Step 2: Convert to fraction form
    9,510.84/13,131.12 = 8,514.40/x
  3. Step 3: Cross multiply
    9,510.84x = 13,131.12 × 8,514.40
  4. Step 4: Simplify right side
    9,510.84x = 111,803,608.13
  5. Step 5: Solve for x
    x = 111,803,608.13/9,510.84
  6. Step 6: Final answer
    x = 11,755.39

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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.