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Finding the Fourth Proportional to 9,169.31, 12,653.64 and 4,977.56

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Solution

The fourth proportional to 9,169.31, 12,653.64 and 4,977.56 is: 6,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.31 : 12,653.64 = 4,977.56 : x
  2. Step 2: Convert to fraction form
    9,169.31/12,653.64 = 4,977.56/x
  3. Step 3: Cross multiply
    9,169.31x = 12,653.64 × 4,977.56
  4. Step 4: Simplify right side
    9,169.31x = 62,984,252.32
  5. Step 5: Solve for x
    x = 62,984,252.32/9,169.31
  6. Step 6: Final answer
    x = 6,869.03

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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.