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Finding the Fourth Proportional to 9,524.08, 14,375.12 and 9,524.08

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Solution

The fourth proportional to 9,524.08, 14,375.12 and 9,524.08 is: 14,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.08 : 14,375.12 = 9,524.08 : x
  2. Step 2: Convert to fraction form
    9,524.08/14,375.12 = 9,524.08/x
  3. Step 3: Cross multiply
    9,524.08x = 14,375.12 × 9,524.08
  4. Step 4: Simplify right side
    9,524.08x = 136,909,792.89
  5. Step 5: Solve for x
    x = 136,909,792.89/9,524.08
  6. Step 6: Final answer
    x = 14,375.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.