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Finding the Fourth Proportional to 7,012.56, 9,677.40 and 3,868.84

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Solution

The fourth proportional to 7,012.56, 9,677.40 and 3,868.84 is: 5,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.56 : 9,677.40 = 3,868.84 : x
  2. Step 2: Convert to fraction form
    7,012.56/9,677.40 = 3,868.84/x
  3. Step 3: Cross multiply
    7,012.56x = 9,677.40 × 3,868.84
  4. Step 4: Simplify right side
    7,012.56x = 37,440,312.22
  5. Step 5: Solve for x
    x = 37,440,312.22/7,012.56
  6. Step 6: Final answer
    x = 5,339.04

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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.