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Finding the Fourth Proportional to 9,646.12, 14,469.18 and 3,801.16

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Solution

The fourth proportional to 9,646.12, 14,469.18 and 3,801.16 is: 5,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.12 : 14,469.18 = 3,801.16 : x
  2. Step 2: Convert to fraction form
    9,646.12/14,469.18 = 3,801.16/x
  3. Step 3: Cross multiply
    9,646.12x = 14,469.18 × 3,801.16
  4. Step 4: Simplify right side
    9,646.12x = 54,999,668.25
  5. Step 5: Solve for x
    x = 54,999,668.25/9,646.12
  6. Step 6: Final answer
    x = 5,701.74

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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.