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Finding the Fourth Proportional to 9,474.90, 14,216.40 and 5,967.60

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Solution

The fourth proportional to 9,474.90, 14,216.40 and 5,967.60 is: 8,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.90 : 14,216.40 = 5,967.60 : x
  2. Step 2: Convert to fraction form
    9,474.90/14,216.40 = 5,967.60/x
  3. Step 3: Cross multiply
    9,474.90x = 14,216.40 × 5,967.60
  4. Step 4: Simplify right side
    9,474.90x = 84,837,788.64
  5. Step 5: Solve for x
    x = 84,837,788.64/9,474.90
  6. Step 6: Final answer
    x = 8,953.95

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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.