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Finding the Fourth Proportional to 9,459.63, 14,174.80 and 6,499.49

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Solution

The fourth proportional to 9,459.63, 14,174.80 and 6,499.49 is: 9,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.63 : 14,174.80 = 6,499.49 : x
  2. Step 2: Convert to fraction form
    9,459.63/14,174.80 = 6,499.49/x
  3. Step 3: Cross multiply
    9,459.63x = 14,174.80 × 6,499.49
  4. Step 4: Simplify right side
    9,459.63x = 92,128,883.73
  5. Step 5: Solve for x
    x = 92,128,883.73/9,459.63
  6. Step 6: Final answer
    x = 9,739.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.