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Finding the Fourth Proportional to 9,075.88, 12,524.82 and 5,097.88

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Solution

The fourth proportional to 9,075.88, 12,524.82 and 5,097.88 is: 7,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.88 : 12,524.82 = 5,097.88 : x
  2. Step 2: Convert to fraction form
    9,075.88/12,524.82 = 5,097.88/x
  3. Step 3: Cross multiply
    9,075.88x = 12,524.82 × 5,097.88
  4. Step 4: Simplify right side
    9,075.88x = 63,850,029.38
  5. Step 5: Solve for x
    x = 63,850,029.38/9,075.88
  6. Step 6: Final answer
    x = 7,035.13

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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.