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Finding the Fourth Proportional to 9,738.46, 13,437.12 and 5,758.12

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Solution

The fourth proportional to 9,738.46, 13,437.12 and 5,758.12 is: 7,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.46 : 13,437.12 = 5,758.12 : x
  2. Step 2: Convert to fraction form
    9,738.46/13,437.12 = 5,758.12/x
  3. Step 3: Cross multiply
    9,738.46x = 13,437.12 × 5,758.12
  4. Step 4: Simplify right side
    9,738.46x = 77,372,549.41
  5. Step 5: Solve for x
    x = 77,372,549.41/9,738.46
  6. Step 6: Final answer
    x = 7,945.05

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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.