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Finding the Fourth Proportional to 9,409.99, 14,112.10 and 6,506.95

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Solution

The fourth proportional to 9,409.99, 14,112.10 and 6,506.95 is: 9,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.99 : 14,112.10 = 6,506.95 : x
  2. Step 2: Convert to fraction form
    9,409.99/14,112.10 = 6,506.95/x
  3. Step 3: Cross multiply
    9,409.99x = 14,112.10 × 6,506.95
  4. Step 4: Simplify right side
    9,409.99x = 91,826,729.10
  5. Step 5: Solve for x
    x = 91,826,729.10/9,409.99
  6. Step 6: Final answer
    x = 9,758.43

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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.