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Finding the Fourth Proportional to 8,714.44, 13,064.36 and 6,074.20

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Solution

The fourth proportional to 8,714.44, 13,064.36 and 6,074.20 is: 9,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.44 : 13,064.36 = 6,074.20 : x
  2. Step 2: Convert to fraction form
    8,714.44/13,064.36 = 6,074.20/x
  3. Step 3: Cross multiply
    8,714.44x = 13,064.36 × 6,074.20
  4. Step 4: Simplify right side
    8,714.44x = 79,355,535.51
  5. Step 5: Solve for x
    x = 79,355,535.51/8,714.44
  6. Step 6: Final answer
    x = 9,106.21

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