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Finding the Fourth Proportional to 6,045.21, 9,059.17 and 3,442.77

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Solution

The fourth proportional to 6,045.21, 9,059.17 and 3,442.77 is: 5,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.21 : 9,059.17 = 3,442.77 : x
  2. Step 2: Convert to fraction form
    6,045.21/9,059.17 = 3,442.77/x
  3. Step 3: Cross multiply
    6,045.21x = 9,059.17 × 3,442.77
  4. Step 4: Simplify right side
    6,045.21x = 31,188,638.70
  5. Step 5: Solve for x
    x = 31,188,638.70/6,045.21
  6. Step 6: Final answer
    x = 5,159.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.