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Finding the Fourth Proportional to 9,131.60, 13,697.40 and 2,558

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Solution

The fourth proportional to 9,131.60, 13,697.40 and 2,558 is: 3,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.60 : 13,697.40 = 2,558 : x
  2. Step 2: Convert to fraction form
    9,131.60/13,697.40 = 2,558/x
  3. Step 3: Cross multiply
    9,131.60x = 13,697.40 × 2,558
  4. Step 4: Simplify right side
    9,131.60x = 35,037,949.20
  5. Step 5: Solve for x
    x = 35,037,949.20/9,131.60
  6. Step 6: Final answer
    x = 3,837.00

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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.