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Finding the Fourth Proportional to 9,612.99, 14,416.59 and 5,167.92

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Solution

The fourth proportional to 9,612.99, 14,416.59 and 5,167.92 is: 7,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.99 : 14,416.59 = 5,167.92 : x
  2. Step 2: Convert to fraction form
    9,612.99/14,416.59 = 5,167.92/x
  3. Step 3: Cross multiply
    9,612.99x = 14,416.59 × 5,167.92
  4. Step 4: Simplify right side
    9,612.99x = 74,503,783.79
  5. Step 5: Solve for x
    x = 74,503,783.79/9,612.99
  6. Step 6: Final answer
    x = 7,750.32

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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.