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Finding the Fourth Proportional to 9,718.12, 14,576.03 and 5,717.90

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Solution

The fourth proportional to 9,718.12, 14,576.03 and 5,717.90 is: 8,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.12 : 14,576.03 = 5,717.90 : x
  2. Step 2: Convert to fraction form
    9,718.12/14,576.03 = 5,717.90/x
  3. Step 3: Cross multiply
    9,718.12x = 14,576.03 × 5,717.90
  4. Step 4: Simplify right side
    9,718.12x = 83,344,274.34
  5. Step 5: Solve for x
    x = 83,344,274.34/9,718.12
  6. Step 6: Final answer
    x = 8,576.17

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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.