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Finding the Fourth Proportional to 6,448.79, 9,619.64 and 6,232.83

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Solution

The fourth proportional to 6,448.79, 9,619.64 and 6,232.83 is: 9,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.79 : 9,619.64 = 6,232.83 : x
  2. Step 2: Convert to fraction form
    6,448.79/9,619.64 = 6,232.83/x
  3. Step 3: Cross multiply
    6,448.79x = 9,619.64 × 6,232.83
  4. Step 4: Simplify right side
    6,448.79x = 59,957,549.62
  5. Step 5: Solve for x
    x = 59,957,549.62/6,448.79
  6. Step 6: Final answer
    x = 9,297.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.