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Finding the Fourth Proportional to 9,460.12, 14,188.56 and 2,533

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Solution

The fourth proportional to 9,460.12, 14,188.56 and 2,533 is: 3,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.12 : 14,188.56 = 2,533 : x
  2. Step 2: Convert to fraction form
    9,460.12/14,188.56 = 2,533/x
  3. Step 3: Cross multiply
    9,460.12x = 14,188.56 × 2,533
  4. Step 4: Simplify right side
    9,460.12x = 35,939,622.48
  5. Step 5: Solve for x
    x = 35,939,622.48/9,460.12
  6. Step 6: Final answer
    x = 3,799.07

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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.