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Finding the Fourth Proportional to 9,873.12, 14,808.60 and 2,946

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Solution

The fourth proportional to 9,873.12, 14,808.60 and 2,946 is: 4,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.12 : 14,808.60 = 2,946 : x
  2. Step 2: Convert to fraction form
    9,873.12/14,808.60 = 2,946/x
  3. Step 3: Cross multiply
    9,873.12x = 14,808.60 × 2,946
  4. Step 4: Simplify right side
    9,873.12x = 43,626,135.60
  5. Step 5: Solve for x
    x = 43,626,135.60/9,873.12
  6. Step 6: Final answer
    x = 4,418.68

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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.