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Finding the Fourth Proportional to 6,114.16, 8,437.54 and 3,461.57

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Solution

The fourth proportional to 6,114.16, 8,437.54 and 3,461.57 is: 4,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.16 : 8,437.54 = 3,461.57 : x
  2. Step 2: Convert to fraction form
    6,114.16/8,437.54 = 3,461.57/x
  3. Step 3: Cross multiply
    6,114.16x = 8,437.54 × 3,461.57
  4. Step 4: Simplify right side
    6,114.16x = 29,207,129.12
  5. Step 5: Solve for x
    x = 29,207,129.12/6,114.16
  6. Step 6: Final answer
    x = 4,776.97

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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.