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Finding the Fourth Proportional to 9,386.80, 14,080.16 and 3,842.72

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Solution

The fourth proportional to 9,386.80, 14,080.16 and 3,842.72 is: 5,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.80 : 14,080.16 = 3,842.72 : x
  2. Step 2: Convert to fraction form
    9,386.80/14,080.16 = 3,842.72/x
  3. Step 3: Cross multiply
    9,386.80x = 14,080.16 × 3,842.72
  4. Step 4: Simplify right side
    9,386.80x = 54,106,112.44
  5. Step 5: Solve for x
    x = 54,106,112.44/9,386.80
  6. Step 6: Final answer
    x = 5,764.06

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1.5x scale

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.