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Finding the Fourth Proportional to 9,356.80, 14,051.40 and 4,982.80

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Solution

The fourth proportional to 9,356.80, 14,051.40 and 4,982.80 is: 7,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.80 : 14,051.40 = 4,982.80 : x
  2. Step 2: Convert to fraction form
    9,356.80/14,051.40 = 4,982.80/x
  3. Step 3: Cross multiply
    9,356.80x = 14,051.40 × 4,982.80
  4. Step 4: Simplify right side
    9,356.80x = 70,015,315.92
  5. Step 5: Solve for x
    x = 70,015,315.92/9,356.80
  6. Step 6: Final answer
    x = 7,482.83

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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.