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Finding the Fourth Proportional to 9,636.60, 14,457.42 and 4,090.17

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Solution

The fourth proportional to 9,636.60, 14,457.42 and 4,090.17 is: 6,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.60 : 14,457.42 = 4,090.17 : x
  2. Step 2: Convert to fraction form
    9,636.60/14,457.42 = 4,090.17/x
  3. Step 3: Cross multiply
    9,636.60x = 14,457.42 × 4,090.17
  4. Step 4: Simplify right side
    9,636.60x = 59,133,305.56
  5. Step 5: Solve for x
    x = 59,133,305.56/9,636.60
  6. Step 6: Final answer
    x = 6,136.32

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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.