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Finding the Fourth Proportional to 9,302.30, 13,953.17 and 2,282.34

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Solution

The fourth proportional to 9,302.30, 13,953.17 and 2,282.34 is: 3,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.30 : 13,953.17 = 2,282.34 : x
  2. Step 2: Convert to fraction form
    9,302.30/13,953.17 = 2,282.34/x
  3. Step 3: Cross multiply
    9,302.30x = 13,953.17 × 2,282.34
  4. Step 4: Simplify right side
    9,302.30x = 31,845,866.61
  5. Step 5: Solve for x
    x = 31,845,866.61/9,302.30
  6. Step 6: Final answer
    x = 3,423.44

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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.