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Finding the Fourth Proportional to 6,707.31, 9,256.23 and 3,723.10

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Solution

The fourth proportional to 6,707.31, 9,256.23 and 3,723.10 is: 5,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.31 : 9,256.23 = 3,723.10 : x
  2. Step 2: Convert to fraction form
    6,707.31/9,256.23 = 3,723.10/x
  3. Step 3: Cross multiply
    6,707.31x = 9,256.23 × 3,723.10
  4. Step 4: Simplify right side
    6,707.31x = 34,461,823.63
  5. Step 5: Solve for x
    x = 34,461,823.63/6,707.31
  6. Step 6: Final answer
    x = 5,137.95

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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.