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Finding the Fourth Proportional to 9,733.19, 13,434.74 and 8,420.99

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Solution

The fourth proportional to 9,733.19, 13,434.74 and 8,420.99 is: 11,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.19 : 13,434.74 = 8,420.99 : x
  2. Step 2: Convert to fraction form
    9,733.19/13,434.74 = 8,420.99/x
  3. Step 3: Cross multiply
    9,733.19x = 13,434.74 × 8,420.99
  4. Step 4: Simplify right side
    9,733.19x = 113,133,701.91
  5. Step 5: Solve for x
    x = 113,133,701.91/9,733.19
  6. Step 6: Final answer
    x = 11,623.50

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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.