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Finding the Fourth Proportional to 6,494.72, 8,962.72 and 3,510.56

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Solution

The fourth proportional to 6,494.72, 8,962.72 and 3,510.56 is: 4,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.72 : 8,962.72 = 3,510.56 : x
  2. Step 2: Convert to fraction form
    6,494.72/8,962.72 = 3,510.56/x
  3. Step 3: Cross multiply
    6,494.72x = 8,962.72 × 3,510.56
  4. Step 4: Simplify right side
    6,494.72x = 31,464,166.32
  5. Step 5: Solve for x
    x = 31,464,166.32/6,494.72
  6. Step 6: Final answer
    x = 4,844.58

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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.