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Finding the Fourth Proportional to 7,061.70, 9,745.28 and 3,875.15

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Solution

The fourth proportional to 7,061.70, 9,745.28 and 3,875.15 is: 5,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.70 : 9,745.28 = 3,875.15 : x
  2. Step 2: Convert to fraction form
    7,061.70/9,745.28 = 3,875.15/x
  3. Step 3: Cross multiply
    7,061.70x = 9,745.28 × 3,875.15
  4. Step 4: Simplify right side
    7,061.70x = 37,764,421.79
  5. Step 5: Solve for x
    x = 37,764,421.79/7,061.70
  6. Step 6: Final answer
    x = 5,347.78

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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.