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Finding the Fourth Proportional to 6,416.40, 9,621.36 and 4,072.32

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Solution

The fourth proportional to 6,416.40, 9,621.36 and 4,072.32 is: 6,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.40 : 9,621.36 = 4,072.32 : x
  2. Step 2: Convert to fraction form
    6,416.40/9,621.36 = 4,072.32/x
  3. Step 3: Cross multiply
    6,416.40x = 9,621.36 × 4,072.32
  4. Step 4: Simplify right side
    6,416.40x = 39,181,256.76
  5. Step 5: Solve for x
    x = 39,181,256.76/6,416.40
  6. Step 6: Final answer
    x = 6,106.42

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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.