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Finding the Fourth Proportional to 9,687.53, 14,527.78 and 4,141.22

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Solution

The fourth proportional to 9,687.53, 14,527.78 and 4,141.22 is: 6,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.53 : 14,527.78 = 4,141.22 : x
  2. Step 2: Convert to fraction form
    9,687.53/14,527.78 = 4,141.22/x
  3. Step 3: Cross multiply
    9,687.53x = 14,527.78 × 4,141.22
  4. Step 4: Simplify right side
    9,687.53x = 60,162,650.10
  5. Step 5: Solve for x
    x = 60,162,650.10/9,687.53
  6. Step 6: Final answer
    x = 6,210.32

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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.