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Finding the Fourth Proportional to 9,758.48, 13,463.09 and 6,405.85

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Solution

The fourth proportional to 9,758.48, 13,463.09 and 6,405.85 is: 8,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.48 : 13,463.09 = 6,405.85 : x
  2. Step 2: Convert to fraction form
    9,758.48/13,463.09 = 6,405.85/x
  3. Step 3: Cross multiply
    9,758.48x = 13,463.09 × 6,405.85
  4. Step 4: Simplify right side
    9,758.48x = 86,242,467.76
  5. Step 5: Solve for x
    x = 86,242,467.76/9,758.48
  6. Step 6: Final answer
    x = 8,837.70

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