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Finding the Fourth Proportional to 9,606.72, 14,388.48 and 7,145.76

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Solution

The fourth proportional to 9,606.72, 14,388.48 and 7,145.76 is: 10,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.72 : 14,388.48 = 7,145.76 : x
  2. Step 2: Convert to fraction form
    9,606.72/14,388.48 = 7,145.76/x
  3. Step 3: Cross multiply
    9,606.72x = 14,388.48 × 7,145.76
  4. Step 4: Simplify right side
    9,606.72x = 102,816,624.84
  5. Step 5: Solve for x
    x = 102,816,624.84/9,606.72
  6. Step 6: Final answer
    x = 10,702.57

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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.