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Finding the Fourth Proportional to 9,169.42, 12,653.73 and 4,977.70

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Solution

The fourth proportional to 9,169.42, 12,653.73 and 4,977.70 is: 6,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.42 : 12,653.73 = 4,977.70 : x
  2. Step 2: Convert to fraction form
    9,169.42/12,653.73 = 4,977.70/x
  3. Step 3: Cross multiply
    9,169.42x = 12,653.73 × 4,977.70
  4. Step 4: Simplify right side
    9,169.42x = 62,986,471.82
  5. Step 5: Solve for x
    x = 62,986,471.82/9,169.42
  6. Step 6: Final answer
    x = 6,869.19

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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.