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Finding the Fourth Proportional to 9,604.53, 14,406.68 and 2,585.16

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Solution

The fourth proportional to 9,604.53, 14,406.68 and 2,585.16 is: 3,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.53 : 14,406.68 = 2,585.16 : x
  2. Step 2: Convert to fraction form
    9,604.53/14,406.68 = 2,585.16/x
  3. Step 3: Cross multiply
    9,604.53x = 14,406.68 × 2,585.16
  4. Step 4: Simplify right side
    9,604.53x = 37,243,559.94
  5. Step 5: Solve for x
    x = 37,243,559.94/9,604.53
  6. Step 6: Final answer
    x = 3,877.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.