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Finding the Fourth Proportional to 9,967.95, 14,948.82 and 2,946.24

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Solution

The fourth proportional to 9,967.95, 14,948.82 and 2,946.24 is: 4,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.95 : 14,948.82 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    9,967.95/14,948.82 = 2,946.24/x
  3. Step 3: Cross multiply
    9,967.95x = 14,948.82 × 2,946.24
  4. Step 4: Simplify right side
    9,967.95x = 44,042,811.44
  5. Step 5: Solve for x
    x = 44,042,811.44/9,967.95
  6. Step 6: Final answer
    x = 4,418.44

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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.