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Finding the Fourth Proportional to 10,457.97, 14,423.63 and 9,196.44

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Solution

The fourth proportional to 10,457.97, 14,423.63 and 9,196.44 is: 12,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.97 : 14,423.63 = 9,196.44 : x
  2. Step 2: Convert to fraction form
    10,457.97/14,423.63 = 9,196.44/x
  3. Step 3: Cross multiply
    10,457.97x = 14,423.63 × 9,196.44
  4. Step 4: Simplify right side
    10,457.97x = 132,646,001.90
  5. Step 5: Solve for x
    x = 132,646,001.90/10,457.97
  6. Step 6: Final answer
    x = 12,683.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.