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Finding the Fourth Proportional to 6,281.46, 8,646.21 and 5,537.34

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Solution

The fourth proportional to 6,281.46, 8,646.21 and 5,537.34 is: 7,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.46 : 8,646.21 = 5,537.34 : x
  2. Step 2: Convert to fraction form
    6,281.46/8,646.21 = 5,537.34/x
  3. Step 3: Cross multiply
    6,281.46x = 8,646.21 × 5,537.34
  4. Step 4: Simplify right side
    6,281.46x = 47,877,004.48
  5. Step 5: Solve for x
    x = 47,877,004.48/6,281.46
  6. Step 6: Final answer
    x = 7,621.95

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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.