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Finding the Fourth Proportional to 9,879.68, 14,815.80 and 4,033.16

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Solution

The fourth proportional to 9,879.68, 14,815.80 and 4,033.16 is: 6,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.68 : 14,815.80 = 4,033.16 : x
  2. Step 2: Convert to fraction form
    9,879.68/14,815.80 = 4,033.16/x
  3. Step 3: Cross multiply
    9,879.68x = 14,815.80 × 4,033.16
  4. Step 4: Simplify right side
    9,879.68x = 59,754,491.93
  5. Step 5: Solve for x
    x = 59,754,491.93/9,879.68
  6. Step 6: Final answer
    x = 6,048.22

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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.