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Finding the Fourth Proportional to 9,410.58, 14,121.34 and 4,216.46

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Solution

The fourth proportional to 9,410.58, 14,121.34 and 4,216.46 is: 6,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.58 : 14,121.34 = 4,216.46 : x
  2. Step 2: Convert to fraction form
    9,410.58/14,121.34 = 4,216.46/x
  3. Step 3: Cross multiply
    9,410.58x = 14,121.34 × 4,216.46
  4. Step 4: Simplify right side
    9,410.58x = 59,542,065.26
  5. Step 5: Solve for x
    x = 59,542,065.26/9,410.58
  6. Step 6: Final answer
    x = 6,327.14

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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.