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Finding the Fourth Proportional to 6,653.98, 9,184.41 and 4,665.02

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Solution

The fourth proportional to 6,653.98, 9,184.41 and 4,665.02 is: 6,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.98 : 9,184.41 = 4,665.02 : x
  2. Step 2: Convert to fraction form
    6,653.98/9,184.41 = 4,665.02/x
  3. Step 3: Cross multiply
    6,653.98x = 9,184.41 × 4,665.02
  4. Step 4: Simplify right side
    6,653.98x = 42,845,433.01
  5. Step 5: Solve for x
    x = 42,845,433.01/6,653.98
  6. Step 6: Final answer
    x = 6,439.07

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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.