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Finding the Fourth Proportional to 9,129.60, 13,694.40 and 2,556

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Solution

The fourth proportional to 9,129.60, 13,694.40 and 2,556 is: 3,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.60 : 13,694.40 = 2,556 : x
  2. Step 2: Convert to fraction form
    9,129.60/13,694.40 = 2,556/x
  3. Step 3: Cross multiply
    9,129.60x = 13,694.40 × 2,556
  4. Step 4: Simplify right side
    9,129.60x = 35,002,886.40
  5. Step 5: Solve for x
    x = 35,002,886.40/9,129.60
  6. Step 6: Final answer
    x = 3,834.00

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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.