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Finding the Fourth Proportional to 9,581.69, 13,220.74 and 5,602.03

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Solution

The fourth proportional to 9,581.69, 13,220.74 and 5,602.03 is: 7,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.69 : 13,220.74 = 5,602.03 : x
  2. Step 2: Convert to fraction form
    9,581.69/13,220.74 = 5,602.03/x
  3. Step 3: Cross multiply
    9,581.69x = 13,220.74 × 5,602.03
  4. Step 4: Simplify right side
    9,581.69x = 74,062,968.10
  5. Step 5: Solve for x
    x = 74,062,968.10/9,581.69
  6. Step 6: Final answer
    x = 7,729.64

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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.