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Finding the Fourth Proportional to 9,810.38, 13,529.03 and 7,568.71

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Solution

The fourth proportional to 9,810.38, 13,529.03 and 7,568.71 is: 10,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.38 : 13,529.03 = 7,568.71 : x
  2. Step 2: Convert to fraction form
    9,810.38/13,529.03 = 7,568.71/x
  3. Step 3: Cross multiply
    9,810.38x = 13,529.03 × 7,568.71
  4. Step 4: Simplify right side
    9,810.38x = 102,397,232.99
  5. Step 5: Solve for x
    x = 102,397,232.99/9,810.38
  6. Step 6: Final answer
    x = 10,437.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.