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Finding the Fourth Proportional to 9,473.86, 14,213.98 and 5,959.78

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Solution

The fourth proportional to 9,473.86, 14,213.98 and 5,959.78 is: 8,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.86 : 14,213.98 = 5,959.78 : x
  2. Step 2: Convert to fraction form
    9,473.86/14,213.98 = 5,959.78/x
  3. Step 3: Cross multiply
    9,473.86x = 14,213.98 × 5,959.78
  4. Step 4: Simplify right side
    9,473.86x = 84,712,165.64
  5. Step 5: Solve for x
    x = 84,712,165.64/9,473.86
  6. Step 6: Final answer
    x = 8,941.67

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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.