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Finding the Fourth Proportional to 9,801.82, 13,526.16 and 5,325.46

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Solution

The fourth proportional to 9,801.82, 13,526.16 and 5,325.46 is: 7,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.82 : 13,526.16 = 5,325.46 : x
  2. Step 2: Convert to fraction form
    9,801.82/13,526.16 = 5,325.46/x
  3. Step 3: Cross multiply
    9,801.82x = 13,526.16 × 5,325.46
  4. Step 4: Simplify right side
    9,801.82x = 72,033,024.03
  5. Step 5: Solve for x
    x = 72,033,024.03/9,801.82
  6. Step 6: Final answer
    x = 7,348.94

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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.