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Finding the Fourth Proportional to 9,169.53, 12,653.58 and 5,191.46

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Solution

The fourth proportional to 9,169.53, 12,653.58 and 5,191.46 is: 7,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.53 : 12,653.58 = 5,191.46 : x
  2. Step 2: Convert to fraction form
    9,169.53/12,653.58 = 5,191.46/x
  3. Step 3: Cross multiply
    9,169.53x = 12,653.58 × 5,191.46
  4. Step 4: Simplify right side
    9,169.53x = 65,690,554.43
  5. Step 5: Solve for x
    x = 65,690,554.43/9,169.53
  6. Step 6: Final answer
    x = 7,164.00

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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.