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Finding the Fourth Proportional to 9,384.96, 14,093.53 and 8,333.15

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Solution

The fourth proportional to 9,384.96, 14,093.53 and 8,333.15 is: 12,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.96 : 14,093.53 = 8,333.15 : x
  2. Step 2: Convert to fraction form
    9,384.96/14,093.53 = 8,333.15/x
  3. Step 3: Cross multiply
    9,384.96x = 14,093.53 × 8,333.15
  4. Step 4: Simplify right side
    9,384.96x = 117,443,408.22
  5. Step 5: Solve for x
    x = 117,443,408.22/9,384.96
  6. Step 6: Final answer
    x = 12,514.00

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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.