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Finding the Fourth Proportional to 6,497.42, 9,735.98 and 3,859.65

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Solution

The fourth proportional to 6,497.42, 9,735.98 and 3,859.65 is: 5,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.42 : 9,735.98 = 3,859.65 : x
  2. Step 2: Convert to fraction form
    6,497.42/9,735.98 = 3,859.65/x
  3. Step 3: Cross multiply
    6,497.42x = 9,735.98 × 3,859.65
  4. Step 4: Simplify right side
    6,497.42x = 37,577,455.91
  5. Step 5: Solve for x
    x = 37,577,455.91/6,497.42
  6. Step 6: Final answer
    x = 5,783.45

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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.