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Finding the Fourth Proportional to 9,510.99, 14,261.34 and 6,743.08

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Solution

The fourth proportional to 9,510.99, 14,261.34 and 6,743.08 is: 10,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.99 : 14,261.34 = 6,743.08 : x
  2. Step 2: Convert to fraction form
    9,510.99/14,261.34 = 6,743.08/x
  3. Step 3: Cross multiply
    9,510.99x = 14,261.34 × 6,743.08
  4. Step 4: Simplify right side
    9,510.99x = 96,165,356.53
  5. Step 5: Solve for x
    x = 96,165,356.53/9,510.99
  6. Step 6: Final answer
    x = 10,110.97

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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.