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Finding the Fourth Proportional to 9,409.68, 14,116.97 and 2,746.02

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Solution

The fourth proportional to 9,409.68, 14,116.97 and 2,746.02 is: 4,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.68 : 14,116.97 = 2,746.02 : x
  2. Step 2: Convert to fraction form
    9,409.68/14,116.97 = 2,746.02/x
  3. Step 3: Cross multiply
    9,409.68x = 14,116.97 × 2,746.02
  4. Step 4: Simplify right side
    9,409.68x = 38,765,468.23
  5. Step 5: Solve for x
    x = 38,765,468.23/9,409.68
  6. Step 6: Final answer
    x = 4,119.74

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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.