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Finding the Fourth Proportional to 10,173.72, 14,041.98 and 6,195

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Solution

The fourth proportional to 10,173.72, 14,041.98 and 6,195 is: 8,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.72 : 14,041.98 = 6,195 : x
  2. Step 2: Convert to fraction form
    10,173.72/14,041.98 = 6,195/x
  3. Step 3: Cross multiply
    10,173.72x = 14,041.98 × 6,195
  4. Step 4: Simplify right side
    10,173.72x = 86,990,066.10
  5. Step 5: Solve for x
    x = 86,990,066.10/10,173.72
  6. Step 6: Final answer
    x = 8,550.47

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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.