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Finding the Fourth Proportional to 9,868.80, 14,811.30 and 9,544.80

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Solution

The fourth proportional to 9,868.80, 14,811.30 and 9,544.80 is: 14,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.80 : 14,811.30 = 9,544.80 : x
  2. Step 2: Convert to fraction form
    9,868.80/14,811.30 = 9,544.80/x
  3. Step 3: Cross multiply
    9,868.80x = 14,811.30 × 9,544.80
  4. Step 4: Simplify right side
    9,868.80x = 141,370,896.24
  5. Step 5: Solve for x
    x = 141,370,896.24/9,868.80
  6. Step 6: Final answer
    x = 14,325.03

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Why These Related Problems?

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