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Finding the Fourth Proportional to 7,012.10, 9,677.00 and 4,028.87

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Solution

The fourth proportional to 7,012.10, 9,677.00 and 4,028.87 is: 5,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.10 : 9,677.00 = 4,028.87 : x
  2. Step 2: Convert to fraction form
    7,012.10/9,677.00 = 4,028.87/x
  3. Step 3: Cross multiply
    7,012.10x = 9,677.00 × 4,028.87
  4. Step 4: Simplify right side
    7,012.10x = 38,987,409.25
  5. Step 5: Solve for x
    x = 38,987,409.25/7,012.10
  6. Step 6: Final answer
    x = 5,560.02

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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.