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Finding the Fourth Proportional to 9,811.20, 14,716.80 and 5,203.20

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Solution

The fourth proportional to 9,811.20, 14,716.80 and 5,203.20 is: 7,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.20 : 14,716.80 = 5,203.20 : x
  2. Step 2: Convert to fraction form
    9,811.20/14,716.80 = 5,203.20/x
  3. Step 3: Cross multiply
    9,811.20x = 14,716.80 × 5,203.20
  4. Step 4: Simplify right side
    9,811.20x = 76,574,453.76
  5. Step 5: Solve for x
    x = 76,574,453.76/9,811.20
  6. Step 6: Final answer
    x = 7,804.80

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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.