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Finding the Fourth Proportional to 9,678.33, 14,516.42 and 2,658.87

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Solution

The fourth proportional to 9,678.33, 14,516.42 and 2,658.87 is: 3,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.33 : 14,516.42 = 2,658.87 : x
  2. Step 2: Convert to fraction form
    9,678.33/14,516.42 = 2,658.87/x
  3. Step 3: Cross multiply
    9,678.33x = 14,516.42 × 2,658.87
  4. Step 4: Simplify right side
    9,678.33x = 38,597,260.35
  5. Step 5: Solve for x
    x = 38,597,260.35/9,678.33
  6. Step 6: Final answer
    x = 3,988.01

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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.