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Finding the Fourth Proportional to 7,061.77, 9,745.42 and 3,875.20

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Solution

The fourth proportional to 7,061.77, 9,745.42 and 3,875.20 is: 5,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.77 : 9,745.42 = 3,875.20 : x
  2. Step 2: Convert to fraction form
    7,061.77/9,745.42 = 3,875.20/x
  3. Step 3: Cross multiply
    7,061.77x = 9,745.42 × 3,875.20
  4. Step 4: Simplify right side
    7,061.77x = 37,765,468.61
  5. Step 5: Solve for x
    x = 37,765,468.61/7,061.77
  6. Step 6: Final answer
    x = 5,347.88

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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.