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Finding the Fourth Proportional to 9,962.78, 13,748.74 and 5,486.67

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Solution

The fourth proportional to 9,962.78, 13,748.74 and 5,486.67 is: 7,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.78 : 13,748.74 = 5,486.67 : x
  2. Step 2: Convert to fraction form
    9,962.78/13,748.74 = 5,486.67/x
  3. Step 3: Cross multiply
    9,962.78x = 13,748.74 × 5,486.67
  4. Step 4: Simplify right side
    9,962.78x = 75,434,771.86
  5. Step 5: Solve for x
    x = 75,434,771.86/9,962.78
  6. Step 6: Final answer
    x = 7,571.66

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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.