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Finding the Fourth Proportional to 6,143.34, 8,477.64 and 3,348.84

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Solution

The fourth proportional to 6,143.34, 8,477.64 and 3,348.84 is: 4,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.34 : 8,477.64 = 3,348.84 : x
  2. Step 2: Convert to fraction form
    6,143.34/8,477.64 = 3,348.84/x
  3. Step 3: Cross multiply
    6,143.34x = 8,477.64 × 3,348.84
  4. Step 4: Simplify right side
    6,143.34x = 28,390,259.94
  5. Step 5: Solve for x
    x = 28,390,259.94/6,143.34
  6. Step 6: Final answer
    x = 4,621.31

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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.