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Finding the Fourth Proportional to 9,461.64, 14,190.76 and 2,534.52

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Solution

The fourth proportional to 9,461.64, 14,190.76 and 2,534.52 is: 3,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.64 : 14,190.76 = 2,534.52 : x
  2. Step 2: Convert to fraction form
    9,461.64/14,190.76 = 2,534.52/x
  3. Step 3: Cross multiply
    9,461.64x = 14,190.76 × 2,534.52
  4. Step 4: Simplify right side
    9,461.64x = 35,966,765.04
  5. Step 5: Solve for x
    x = 35,966,765.04/9,461.64
  6. Step 6: Final answer
    x = 3,801.32

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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.