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Finding the Fourth Proportional to 9,864, 14,800.05 and 7,244.94

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Solution

The fourth proportional to 9,864, 14,800.05 and 7,244.94 is: 10,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 14,800.05 = 7,244.94 : x
  2. Step 2: Convert to fraction form
    9,864/14,800.05 = 7,244.94/x
  3. Step 3: Cross multiply
    9,864x = 14,800.05 × 7,244.94
  4. Step 4: Simplify right side
    9,864x = 107,225,474.25
  5. Step 5: Solve for x
    x = 107,225,474.25/9,864
  6. Step 6: Final answer
    x = 10,870.38

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Why These Related Problems?

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