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Finding the Fourth Proportional to 9,460.13, 14,175.54 and 6,499.99

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Solution

The fourth proportional to 9,460.13, 14,175.54 and 6,499.99 is: 9,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.13 : 14,175.54 = 6,499.99 : x
  2. Step 2: Convert to fraction form
    9,460.13/14,175.54 = 6,499.99/x
  3. Step 3: Cross multiply
    9,460.13x = 14,175.54 × 6,499.99
  4. Step 4: Simplify right side
    9,460.13x = 92,140,797.37
  5. Step 5: Solve for x
    x = 92,140,797.37/9,460.13
  6. Step 6: Final answer
    x = 9,739.91

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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.