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Finding the Fourth Proportional to 9,801.22, 13,526.67 and 5,769.63

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Solution

The fourth proportional to 9,801.22, 13,526.67 and 5,769.63 is: 7,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.22 : 13,526.67 = 5,769.63 : x
  2. Step 2: Convert to fraction form
    9,801.22/13,526.67 = 5,769.63/x
  3. Step 3: Cross multiply
    9,801.22x = 13,526.67 × 5,769.63
  4. Step 4: Simplify right side
    9,801.22x = 78,043,881.03
  5. Step 5: Solve for x
    x = 78,043,881.03/9,801.22
  6. Step 6: Final answer
    x = 7,962.67

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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.