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Finding the Fourth Proportional to 6,114.16, 8,437.08 and 3,460.96

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Solution

The fourth proportional to 6,114.16, 8,437.08 and 3,460.96 is: 4,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.16 : 8,437.08 = 3,460.96 : x
  2. Step 2: Convert to fraction form
    6,114.16/8,437.08 = 3,460.96/x
  3. Step 3: Cross multiply
    6,114.16x = 8,437.08 × 3,460.96
  4. Step 4: Simplify right side
    6,114.16x = 29,200,396.40
  5. Step 5: Solve for x
    x = 29,200,396.40/6,114.16
  6. Step 6: Final answer
    x = 4,775.86

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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.