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Finding the Fourth Proportional to 9,613.02, 14,416.75 and 3,689.49

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Solution

The fourth proportional to 9,613.02, 14,416.75 and 3,689.49 is: 5,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.02 : 14,416.75 = 3,689.49 : x
  2. Step 2: Convert to fraction form
    9,613.02/14,416.75 = 3,689.49/x
  3. Step 3: Cross multiply
    9,613.02x = 14,416.75 × 3,689.49
  4. Step 4: Simplify right side
    9,613.02x = 53,190,445.73
  5. Step 5: Solve for x
    x = 53,190,445.73/9,613.02
  6. Step 6: Final answer
    x = 5,533.17

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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.