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Finding the Fourth Proportional to 6,114.02, 8,437.48 and 3,461.43

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Solution

The fourth proportional to 6,114.02, 8,437.48 and 3,461.43 is: 4,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.02 : 8,437.48 = 3,461.43 : x
  2. Step 2: Convert to fraction form
    6,114.02/8,437.48 = 3,461.43/x
  3. Step 3: Cross multiply
    6,114.02x = 8,437.48 × 3,461.43
  4. Step 4: Simplify right side
    6,114.02x = 29,205,746.40
  5. Step 5: Solve for x
    x = 29,205,746.40/6,114.02
  6. Step 6: Final answer
    x = 4,776.85

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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.