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Finding the Fourth Proportional to 9,461.64, 14,191.92 and 3,615.60

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Solution

The fourth proportional to 9,461.64, 14,191.92 and 3,615.60 is: 5,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.64 : 14,191.92 = 3,615.60 : x
  2. Step 2: Convert to fraction form
    9,461.64/14,191.92 = 3,615.60/x
  3. Step 3: Cross multiply
    9,461.64x = 14,191.92 × 3,615.60
  4. Step 4: Simplify right side
    9,461.64x = 51,312,305.95
  5. Step 5: Solve for x
    x = 51,312,305.95/9,461.64
  6. Step 6: Final answer
    x = 5,423.19

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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.