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Finding the Fourth Proportional to 6,713.46, 9,264.36 and 3,688.58

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Solution

The fourth proportional to 6,713.46, 9,264.36 and 3,688.58 is: 5,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.46 : 9,264.36 = 3,688.58 : x
  2. Step 2: Convert to fraction form
    6,713.46/9,264.36 = 3,688.58/x
  3. Step 3: Cross multiply
    6,713.46x = 9,264.36 × 3,688.58
  4. Step 4: Simplify right side
    6,713.46x = 34,172,333.01
  5. Step 5: Solve for x
    x = 34,172,333.01/6,713.46
  6. Step 6: Final answer
    x = 5,090.12

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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.