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Finding the Fourth Proportional to 9,302.34, 13,953.54 and 2,282.39

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Solution

The fourth proportional to 9,302.34, 13,953.54 and 2,282.39 is: 3,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.34 : 13,953.54 = 2,282.39 : x
  2. Step 2: Convert to fraction form
    9,302.34/13,953.54 = 2,282.39/x
  3. Step 3: Cross multiply
    9,302.34x = 13,953.54 × 2,282.39
  4. Step 4: Simplify right side
    9,302.34x = 31,847,420.16
  5. Step 5: Solve for x
    x = 31,847,420.16/9,302.34
  6. Step 6: Final answer
    x = 3,423.59

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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.