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Finding the Fourth Proportional to 9,946.86, 14,920.02 and 2,551.02

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Solution

The fourth proportional to 9,946.86, 14,920.02 and 2,551.02 is: 3,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.86 : 14,920.02 = 2,551.02 : x
  2. Step 2: Convert to fraction form
    9,946.86/14,920.02 = 2,551.02/x
  3. Step 3: Cross multiply
    9,946.86x = 14,920.02 × 2,551.02
  4. Step 4: Simplify right side
    9,946.86x = 38,061,269.42
  5. Step 5: Solve for x
    x = 38,061,269.42/9,946.86
  6. Step 6: Final answer
    x = 3,826.46

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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.