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Finding the Fourth Proportional to 9,075.86, 12,524.70 and 5,098.26

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Solution

The fourth proportional to 9,075.86, 12,524.70 and 5,098.26 is: 7,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.86 : 12,524.70 = 5,098.26 : x
  2. Step 2: Convert to fraction form
    9,075.86/12,524.70 = 5,098.26/x
  3. Step 3: Cross multiply
    9,075.86x = 12,524.70 × 5,098.26
  4. Step 4: Simplify right side
    9,075.86x = 63,854,177.02
  5. Step 5: Solve for x
    x = 63,854,177.02/9,075.86
  6. Step 6: Final answer
    x = 7,035.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.