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Finding the Fourth Proportional to 9,827.34, 13,552.83 and 6,469.08

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Solution

The fourth proportional to 9,827.34, 13,552.83 and 6,469.08 is: 8,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.34 : 13,552.83 = 6,469.08 : x
  2. Step 2: Convert to fraction form
    9,827.34/13,552.83 = 6,469.08/x
  3. Step 3: Cross multiply
    9,827.34x = 13,552.83 × 6,469.08
  4. Step 4: Simplify right side
    9,827.34x = 87,674,341.50
  5. Step 5: Solve for x
    x = 87,674,341.50/9,827.34
  6. Step 6: Final answer
    x = 8,921.47

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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.