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Finding the Fourth Proportional to 9,966.68, 14,946.52 and 2,944.82

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Solution

The fourth proportional to 9,966.68, 14,946.52 and 2,944.82 is: 4,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.68 : 14,946.52 = 2,944.82 : x
  2. Step 2: Convert to fraction form
    9,966.68/14,946.52 = 2,944.82/x
  3. Step 3: Cross multiply
    9,966.68x = 14,946.52 × 2,944.82
  4. Step 4: Simplify right side
    9,966.68x = 44,014,811.03
  5. Step 5: Solve for x
    x = 44,014,811.03/9,966.68
  6. Step 6: Final answer
    x = 4,416.20

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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.