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Finding the Fourth Proportional to 9,825.01, 13,528.49 and 7,405.89

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Solution

The fourth proportional to 9,825.01, 13,528.49 and 7,405.89 is: 10,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.01 : 13,528.49 = 7,405.89 : x
  2. Step 2: Convert to fraction form
    9,825.01/13,528.49 = 7,405.89/x
  3. Step 3: Cross multiply
    9,825.01x = 13,528.49 × 7,405.89
  4. Step 4: Simplify right side
    9,825.01x = 100,190,561.14
  5. Step 5: Solve for x
    x = 100,190,561.14/9,825.01
  6. Step 6: Final answer
    x = 10,197.50

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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.