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Finding the Fourth Proportional to 7,062.02, 9,745.77 and 3,875.45

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Solution

The fourth proportional to 7,062.02, 9,745.77 and 3,875.45 is: 5,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.02 : 9,745.77 = 3,875.45 : x
  2. Step 2: Convert to fraction form
    7,062.02/9,745.77 = 3,875.45/x
  3. Step 3: Cross multiply
    7,062.02x = 9,745.77 × 3,875.45
  4. Step 4: Simplify right side
    7,062.02x = 37,769,259.02
  5. Step 5: Solve for x
    x = 37,769,259.02/7,062.02
  6. Step 6: Final answer
    x = 5,348.23

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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.