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Finding the Fourth Proportional to 9,283.29, 13,924.96 and 6,522.29

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Solution

The fourth proportional to 9,283.29, 13,924.96 and 6,522.29 is: 9,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.29 : 13,924.96 = 6,522.29 : x
  2. Step 2: Convert to fraction form
    9,283.29/13,924.96 = 6,522.29/x
  3. Step 3: Cross multiply
    9,283.29x = 13,924.96 × 6,522.29
  4. Step 4: Simplify right side
    9,283.29x = 90,822,645.87
  5. Step 5: Solve for x
    x = 90,822,645.87/9,283.29
  6. Step 6: Final answer
    x = 9,783.45

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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.