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Finding the Fourth Proportional to 9,814.38, 13,534.54 and 7,572.70

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Solution

The fourth proportional to 9,814.38, 13,534.54 and 7,572.70 is: 10,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.38 : 13,534.54 = 7,572.70 : x
  2. Step 2: Convert to fraction form
    9,814.38/13,534.54 = 7,572.70/x
  3. Step 3: Cross multiply
    9,814.38x = 13,534.54 × 7,572.70
  4. Step 4: Simplify right side
    9,814.38x = 102,493,011.06
  5. Step 5: Solve for x
    x = 102,493,011.06/9,814.38
  6. Step 6: Final answer
    x = 10,443.15

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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.