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Finding the Fourth Proportional to 7,012.86, 9,677.73 and 3,869.02

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Solution

The fourth proportional to 7,012.86, 9,677.73 and 3,869.02 is: 5,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.86 : 9,677.73 = 3,869.02 : x
  2. Step 2: Convert to fraction form
    7,012.86/9,677.73 = 3,869.02/x
  3. Step 3: Cross multiply
    7,012.86x = 9,677.73 × 3,869.02
  4. Step 4: Simplify right side
    7,012.86x = 37,443,330.92
  5. Step 5: Solve for x
    x = 37,443,330.92/7,012.86
  6. Step 6: Final answer
    x = 5,339.24

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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.