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Finding the Fourth Proportional to 9,804.02, 13,528.76 and 5,770.22

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Solution

The fourth proportional to 9,804.02, 13,528.76 and 5,770.22 is: 7,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.02 : 13,528.76 = 5,770.22 : x
  2. Step 2: Convert to fraction form
    9,804.02/13,528.76 = 5,770.22/x
  3. Step 3: Cross multiply
    9,804.02x = 13,528.76 × 5,770.22
  4. Step 4: Simplify right side
    9,804.02x = 78,063,825.03
  5. Step 5: Solve for x
    x = 78,063,825.03/9,804.02
  6. Step 6: Final answer
    x = 7,962.43

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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.