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Finding the Fourth Proportional to 6,746.34, 9,315.82 and 4,232.77

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Solution

The fourth proportional to 6,746.34, 9,315.82 and 4,232.77 is: 5,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.34 : 9,315.82 = 4,232.77 : x
  2. Step 2: Convert to fraction form
    6,746.34/9,315.82 = 4,232.77/x
  3. Step 3: Cross multiply
    6,746.34x = 9,315.82 × 4,232.77
  4. Step 4: Simplify right side
    6,746.34x = 39,431,655.68
  5. Step 5: Solve for x
    x = 39,431,655.68/6,746.34
  6. Step 6: Final answer
    x = 5,844.90

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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.