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Finding the Fourth Proportional to 6,463.68, 9,700.32 and 4,271.52

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Solution

The fourth proportional to 6,463.68, 9,700.32 and 4,271.52 is: 6,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.68 : 9,700.32 = 4,271.52 : x
  2. Step 2: Convert to fraction form
    6,463.68/9,700.32 = 4,271.52/x
  3. Step 3: Cross multiply
    6,463.68x = 9,700.32 × 4,271.52
  4. Step 4: Simplify right side
    6,463.68x = 41,435,110.89
  5. Step 5: Solve for x
    x = 41,435,110.89/6,463.68
  6. Step 6: Final answer
    x = 6,410.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.