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Finding the Fourth Proportional to 9,224.34, 13,823.55 and 6,917.46

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Solution

The fourth proportional to 9,224.34, 13,823.55 and 6,917.46 is: 10,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.34 : 13,823.55 = 6,917.46 : x
  2. Step 2: Convert to fraction form
    9,224.34/13,823.55 = 6,917.46/x
  3. Step 3: Cross multiply
    9,224.34x = 13,823.55 × 6,917.46
  4. Step 4: Simplify right side
    9,224.34x = 95,623,854.18
  5. Step 5: Solve for x
    x = 95,623,854.18/9,224.34
  6. Step 6: Final answer
    x = 10,366.47

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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.