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Finding the Fourth Proportional to 9,079.96, 13,620.40 and 2,506

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Solution

The fourth proportional to 9,079.96, 13,620.40 and 2,506 is: 3,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.96 : 13,620.40 = 2,506 : x
  2. Step 2: Convert to fraction form
    9,079.96/13,620.40 = 2,506/x
  3. Step 3: Cross multiply
    9,079.96x = 13,620.40 × 2,506
  4. Step 4: Simplify right side
    9,079.96x = 34,132,722.40
  5. Step 5: Solve for x
    x = 34,132,722.40/9,079.96
  6. Step 6: Final answer
    x = 3,759.13

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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.