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Finding the Fourth Proportional to 7,165.81, 9,884.86 and 4,512.25

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Solution

The fourth proportional to 7,165.81, 9,884.86 and 4,512.25 is: 6,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.81 : 9,884.86 = 4,512.25 : x
  2. Step 2: Convert to fraction form
    7,165.81/9,884.86 = 4,512.25/x
  3. Step 3: Cross multiply
    7,165.81x = 9,884.86 × 4,512.25
  4. Step 4: Simplify right side
    7,165.81x = 44,602,959.54
  5. Step 5: Solve for x
    x = 44,602,959.54/7,165.81
  6. Step 6: Final answer
    x = 6,224.41

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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.