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Finding the Fourth Proportional to 9,713.24, 14,550.57 and 7,484.34

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Solution

The fourth proportional to 9,713.24, 14,550.57 and 7,484.34 is: 11,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.24 : 14,550.57 = 7,484.34 : x
  2. Step 2: Convert to fraction form
    9,713.24/14,550.57 = 7,484.34/x
  3. Step 3: Cross multiply
    9,713.24x = 14,550.57 × 7,484.34
  4. Step 4: Simplify right side
    9,713.24x = 108,901,333.76
  5. Step 5: Solve for x
    x = 108,901,333.76/9,713.24
  6. Step 6: Final answer
    x = 11,211.64

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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.