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Finding the Fourth Proportional to 10,171.23, 14,029.05 and 9,334.64

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Solution

The fourth proportional to 10,171.23, 14,029.05 and 9,334.64 is: 12,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.23 : 14,029.05 = 9,334.64 : x
  2. Step 2: Convert to fraction form
    10,171.23/14,029.05 = 9,334.64/x
  3. Step 3: Cross multiply
    10,171.23x = 14,029.05 × 9,334.64
  4. Step 4: Simplify right side
    10,171.23x = 130,956,061.15
  5. Step 5: Solve for x
    x = 130,956,061.15/10,171.23
  6. Step 6: Final answer
    x = 12,875.15

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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.